import numpy as np
import pandas as pd
import matplotlib.pyplot as plt
import seaborn as sns
from sklearn import metrics
import statsmodels.api as sm
import os
os.chdir('../Regression Problem') # set your directory in your local machine
os.getcwd()
'K:\\data\\DataSience\\data_sicence course\\ML\\farzad\\Regression Problem'
data = pd.read_csv('CS_04.csv')
data.shape
(322, 21)
data.columns
Index(['Unnamed: 0', 'AtBat', 'Hits', 'HmRun', 'Runs', 'RBI', 'Walks', 'Years',
'CAtBat', 'CHits', 'CHmRun', 'CRuns', 'CRBI', 'CWalks', 'League',
'Division', 'PutOuts', 'Assists', 'Errors', 'Salary', 'NewLeague'],
dtype='object')
data.head()
| Unnamed: 0 | AtBat | Hits | HmRun | Runs | RBI | Walks | Years | CAtBat | CHits | ... | CRuns | CRBI | CWalks | League | Division | PutOuts | Assists | Errors | Salary | NewLeague | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | -Andy Allanson | 293 | 66 | 1 | 30 | 29 | 14 | 1 | 293 | 66 | ... | 30 | 29 | 14 | A | E | 446 | 33 | 20 | NaN | A |
| 1 | -Alan Ashby | 315 | 81 | 7 | 24 | 38 | 39 | 14 | 3449 | 835 | ... | 321 | 414 | 375 | N | W | 632 | 43 | 10 | 475.0 | N |
| 2 | -Alvin Davis | 479 | 130 | 18 | 66 | 72 | 76 | 3 | 1624 | 457 | ... | 224 | 266 | 263 | A | W | 880 | 82 | 14 | 480.0 | A |
| 3 | -Andre Dawson | 496 | 141 | 20 | 65 | 78 | 37 | 11 | 5628 | 1575 | ... | 828 | 838 | 354 | N | E | 200 | 11 | 3 | 500.0 | N |
| 4 | -Andres Galarraga | 321 | 87 | 10 | 39 | 42 | 30 | 2 | 396 | 101 | ... | 48 | 46 | 33 | N | E | 805 | 40 | 4 | 91.5 | N |
5 rows × 21 columns
data.info()
<class 'pandas.core.frame.DataFrame'> RangeIndex: 322 entries, 0 to 321 Data columns (total 21 columns): # Column Non-Null Count Dtype --- ------ -------------- ----- 0 Unnamed: 0 322 non-null object 1 AtBat 322 non-null int64 2 Hits 322 non-null int64 3 HmRun 322 non-null int64 4 Runs 322 non-null int64 5 RBI 322 non-null int64 6 Walks 322 non-null int64 7 Years 322 non-null int64 8 CAtBat 322 non-null int64 9 CHits 322 non-null int64 10 CHmRun 322 non-null int64 11 CRuns 322 non-null int64 12 CRBI 322 non-null int64 13 CWalks 322 non-null int64 14 League 322 non-null object 15 Division 322 non-null object 16 PutOuts 322 non-null int64 17 Assists 322 non-null int64 18 Errors 322 non-null int64 19 Salary 263 non-null float64 20 NewLeague 322 non-null object dtypes: float64(1), int64(16), object(4) memory usage: 53.0+ KB
data.isna().sum()
Unnamed: 0 0 AtBat 0 Hits 0 HmRun 0 Runs 0 RBI 0 Walks 0 Years 0 CAtBat 0 CHits 0 CHmRun 0 CRuns 0 CRBI 0 CWalks 0 League 0 Division 0 PutOuts 0 Assists 0 Errors 0 Salary 59 NewLeague 0 dtype: int64
data.drop(['Unnamed: 0'], axis = 1, inplace = True)
data.head()
| AtBat | Hits | HmRun | Runs | RBI | Walks | Years | CAtBat | CHits | CHmRun | CRuns | CRBI | CWalks | League | Division | PutOuts | Assists | Errors | Salary | NewLeague | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 293 | 66 | 1 | 30 | 29 | 14 | 1 | 293 | 66 | 1 | 30 | 29 | 14 | A | E | 446 | 33 | 20 | NaN | A |
| 1 | 315 | 81 | 7 | 24 | 38 | 39 | 14 | 3449 | 835 | 69 | 321 | 414 | 375 | N | W | 632 | 43 | 10 | 475.0 | N |
| 2 | 479 | 130 | 18 | 66 | 72 | 76 | 3 | 1624 | 457 | 63 | 224 | 266 | 263 | A | W | 880 | 82 | 14 | 480.0 | A |
| 3 | 496 | 141 | 20 | 65 | 78 | 37 | 11 | 5628 | 1575 | 225 | 828 | 838 | 354 | N | E | 200 | 11 | 3 | 500.0 | N |
| 4 | 321 | 87 | 10 | 39 | 42 | 30 | 2 | 396 | 101 | 12 | 48 | 46 | 33 | N | E | 805 | 40 | 4 | 91.5 | N |
data2 = data.dropna(subset = ['Salary'], axis = 0, inplace = False)
data2.shape
(263, 20)
data2.describe()
| AtBat | Hits | HmRun | Runs | RBI | Walks | Years | CAtBat | CHits | CHmRun | CRuns | CRBI | CWalks | PutOuts | Assists | Errors | Salary | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| count | 263.000000 | 263.000000 | 263.000000 | 263.000000 | 263.000000 | 263.000000 | 263.000000 | 263.000000 | 263.000000 | 263.000000 | 263.000000 | 263.000000 | 263.000000 | 263.000000 | 263.000000 | 263.000000 | 263.000000 |
| mean | 403.642586 | 107.828897 | 11.619772 | 54.745247 | 51.486692 | 41.114068 | 7.311787 | 2657.543726 | 722.186312 | 69.239544 | 361.220532 | 330.418251 | 260.266160 | 290.711027 | 118.760456 | 8.593156 | 535.925882 |
| std | 147.307209 | 45.125326 | 8.757108 | 25.539816 | 25.882714 | 21.718056 | 4.793616 | 2286.582929 | 648.199644 | 82.197581 | 331.198571 | 323.367668 | 264.055868 | 279.934575 | 145.080577 | 6.606574 | 451.118681 |
| min | 19.000000 | 1.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 1.000000 | 19.000000 | 4.000000 | 0.000000 | 2.000000 | 3.000000 | 1.000000 | 0.000000 | 0.000000 | 0.000000 | 67.500000 |
| 25% | 282.500000 | 71.500000 | 5.000000 | 33.500000 | 30.000000 | 23.000000 | 4.000000 | 842.500000 | 212.000000 | 15.000000 | 105.500000 | 95.000000 | 71.000000 | 113.500000 | 8.000000 | 3.000000 | 190.000000 |
| 50% | 413.000000 | 103.000000 | 9.000000 | 52.000000 | 47.000000 | 37.000000 | 6.000000 | 1931.000000 | 516.000000 | 40.000000 | 250.000000 | 230.000000 | 174.000000 | 224.000000 | 45.000000 | 7.000000 | 425.000000 |
| 75% | 526.000000 | 141.500000 | 18.000000 | 73.000000 | 71.000000 | 57.000000 | 10.000000 | 3890.500000 | 1054.000000 | 92.500000 | 497.500000 | 424.500000 | 328.500000 | 322.500000 | 192.000000 | 13.000000 | 750.000000 |
| max | 687.000000 | 238.000000 | 40.000000 | 130.000000 | 121.000000 | 105.000000 | 24.000000 | 14053.000000 | 4256.000000 | 548.000000 | 2165.000000 | 1659.000000 | 1566.000000 | 1377.000000 | 492.000000 | 32.000000 | 2460.000000 |
data2.columns
Index(['AtBat', 'Hits', 'HmRun', 'Runs', 'RBI', 'Walks', 'Years', 'CAtBat',
'CHits', 'CHmRun', 'CRuns', 'CRBI', 'CWalks', 'League', 'Division',
'PutOuts', 'Assists', 'Errors', 'Salary', 'NewLeague'],
dtype='object')
var_ind = list(range(13)) + list(range(15, 19))
len(var_ind)
17
var_ind
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 15, 16, 17, 18]
data2.iloc[:, var_ind].info()
<class 'pandas.core.frame.DataFrame'> Int64Index: 263 entries, 1 to 321 Data columns (total 17 columns): # Column Non-Null Count Dtype --- ------ -------------- ----- 0 AtBat 263 non-null int64 1 Hits 263 non-null int64 2 HmRun 263 non-null int64 3 Runs 263 non-null int64 4 RBI 263 non-null int64 5 Walks 263 non-null int64 6 Years 263 non-null int64 7 CAtBat 263 non-null int64 8 CHits 263 non-null int64 9 CHmRun 263 non-null int64 10 CRuns 263 non-null int64 11 CRBI 263 non-null int64 12 CWalks 263 non-null int64 13 PutOuts 263 non-null int64 14 Assists 263 non-null int64 15 Errors 263 non-null int64 16 Salary 263 non-null float64 dtypes: float64(1), int64(16) memory usage: 37.0 KB
plot = plt.figure(figsize = (12, 6))
plot.subplots_adjust(hspace = 0.5, wspace = 0.5)
for i in range(1, 18):
a = plot.add_subplot(3, 6, i)
a.hist(data2.iloc[:, var_ind[i - 1]], alpha = 0.7)
a.title.set_text(data2.columns[var_ind[i - 1]])
# Box Plot of Salary
plt.boxplot(data2.Salary, showmeans = True)
plt.title('Boxplot of Salary')
Text(0.5, 1.0, 'Boxplot of Salary')
cor_table = round(data2.iloc[:, var_ind].corr(method = 'pearson'), 2)
cor_table
| AtBat | Hits | HmRun | Runs | RBI | Walks | Years | CAtBat | CHits | CHmRun | CRuns | CRBI | CWalks | PutOuts | Assists | Errors | Salary | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| AtBat | 1.00 | 0.96 | 0.56 | 0.90 | 0.80 | 0.62 | 0.01 | 0.21 | 0.23 | 0.21 | 0.24 | 0.22 | 0.13 | 0.31 | 0.34 | 0.33 | 0.39 |
| Hits | 0.96 | 1.00 | 0.53 | 0.91 | 0.79 | 0.59 | 0.02 | 0.21 | 0.24 | 0.19 | 0.24 | 0.22 | 0.12 | 0.30 | 0.30 | 0.28 | 0.44 |
| HmRun | 0.56 | 0.53 | 1.00 | 0.63 | 0.85 | 0.44 | 0.11 | 0.22 | 0.22 | 0.49 | 0.26 | 0.35 | 0.23 | 0.25 | -0.16 | -0.01 | 0.34 |
| Runs | 0.90 | 0.91 | 0.63 | 1.00 | 0.78 | 0.70 | -0.01 | 0.17 | 0.19 | 0.23 | 0.24 | 0.20 | 0.16 | 0.27 | 0.18 | 0.19 | 0.42 |
| RBI | 0.80 | 0.79 | 0.85 | 0.78 | 1.00 | 0.57 | 0.13 | 0.28 | 0.29 | 0.44 | 0.31 | 0.39 | 0.23 | 0.31 | 0.06 | 0.15 | 0.45 |
| Walks | 0.62 | 0.59 | 0.44 | 0.70 | 0.57 | 1.00 | 0.13 | 0.27 | 0.27 | 0.35 | 0.33 | 0.31 | 0.43 | 0.28 | 0.10 | 0.08 | 0.44 |
| Years | 0.01 | 0.02 | 0.11 | -0.01 | 0.13 | 0.13 | 1.00 | 0.92 | 0.90 | 0.72 | 0.88 | 0.86 | 0.84 | -0.02 | -0.09 | -0.16 | 0.40 |
| CAtBat | 0.21 | 0.21 | 0.22 | 0.17 | 0.28 | 0.27 | 0.92 | 1.00 | 1.00 | 0.80 | 0.98 | 0.95 | 0.91 | 0.05 | -0.01 | -0.07 | 0.53 |
| CHits | 0.23 | 0.24 | 0.22 | 0.19 | 0.29 | 0.27 | 0.90 | 1.00 | 1.00 | 0.79 | 0.98 | 0.95 | 0.89 | 0.07 | -0.01 | -0.07 | 0.55 |
| CHmRun | 0.21 | 0.19 | 0.49 | 0.23 | 0.44 | 0.35 | 0.72 | 0.80 | 0.79 | 1.00 | 0.83 | 0.93 | 0.81 | 0.09 | -0.19 | -0.17 | 0.52 |
| CRuns | 0.24 | 0.24 | 0.26 | 0.24 | 0.31 | 0.33 | 0.88 | 0.98 | 0.98 | 0.83 | 1.00 | 0.95 | 0.93 | 0.06 | -0.04 | -0.09 | 0.56 |
| CRBI | 0.22 | 0.22 | 0.35 | 0.20 | 0.39 | 0.31 | 0.86 | 0.95 | 0.95 | 0.93 | 0.95 | 1.00 | 0.89 | 0.10 | -0.10 | -0.12 | 0.57 |
| CWalks | 0.13 | 0.12 | 0.23 | 0.16 | 0.23 | 0.43 | 0.84 | 0.91 | 0.89 | 0.81 | 0.93 | 0.89 | 1.00 | 0.06 | -0.07 | -0.13 | 0.49 |
| PutOuts | 0.31 | 0.30 | 0.25 | 0.27 | 0.31 | 0.28 | -0.02 | 0.05 | 0.07 | 0.09 | 0.06 | 0.10 | 0.06 | 1.00 | -0.04 | 0.08 | 0.30 |
| Assists | 0.34 | 0.30 | -0.16 | 0.18 | 0.06 | 0.10 | -0.09 | -0.01 | -0.01 | -0.19 | -0.04 | -0.10 | -0.07 | -0.04 | 1.00 | 0.70 | 0.03 |
| Errors | 0.33 | 0.28 | -0.01 | 0.19 | 0.15 | 0.08 | -0.16 | -0.07 | -0.07 | -0.17 | -0.09 | -0.12 | -0.13 | 0.08 | 0.70 | 1.00 | -0.01 |
| Salary | 0.39 | 0.44 | 0.34 | 0.42 | 0.45 | 0.44 | 0.40 | 0.53 | 0.55 | 0.52 | 0.56 | 0.57 | 0.49 | 0.30 | 0.03 | -0.01 | 1.00 |
plt.figure(figsize = (12, 8))
sns.heatmap(cor_table, annot = True)
<matplotlib.axes._subplots.AxesSubplot at 0x23537bcf148>
#Scatter Plot
var_ind = list(range(13)) + list(range(15, 18))
plot = plt.figure(figsize = (12, 12))
plot.subplots_adjust(hspace = 0.8, wspace = 0.5)
for i in range(1, 17):
a = plot.add_subplot(4, 4, i)
a.scatter(x = data2.iloc[: , var_ind[i - 1]], y = data2.iloc[: , 18], alpha = 0.5)
a.title.set_text('Salary vs. ' + data2.columns[var_ind[i - 1]])
targ_x = 'Errors'
targ_y = 'Salary'
print(f'{data2[targ_x].count()} == {data2[targ_x].size} if these numbers are not equal then we have missing value')
print('------------------------------------')
print(f'The min of {targ_x} is: {data2[targ_x].min()}')
print('------------------------------------')
print(f'The max of {targ_x} is: {data2[targ_x].max()}')
print('------------------------------------')
print(f'The quantile of {targ_x} is:\n{data2[targ_x].quantile(q = [.1, .25, .5, .75, .9, .95])}')
print('------------------------------------')
print(f'The mean of {targ_x} is: {data2[targ_x].mean()}')
plt.figure(figsize=(15, 10), dpi = 200)
plt.subplots_adjust(hspace = 0.5, wspace = 0.5)
plt.subplot(221)
sns.boxplot(x = data2[targ_x]);
plt.title(f'boxplot of {targ_x}')
plt.subplot(222)
sns.distplot(data2[targ_x], kde = False);
plt.title(f'Histogram of {targ_x}')
plt.subplot(223)
plt.scatter(x = data2[targ_x], y = data2[targ_y], alpha = 0.5);
plt.title(f'{targ_y} vs {targ_x}')
plt.xlabel(targ_x)
plt.ylabel(targ_y)
plt.subplots_adjust(hspace = 0.5, wspace = 0.5)
plt.subplot(224)
plt.scatter(x = data2[targ_x], y = data2[targ_y]);
plt.title(f'{targ_y} vs log({targ_x})')
plt.xlabel(targ_x)
plt.ylabel(targ_y)
plt.subplots_adjust(hspace = 0.5, wspace = 0.5)
263 == 263 if these numbers are not equal then we have missing value ------------------------------------ The min of Errors is: 0 ------------------------------------ The max of Errors is: 32 ------------------------------------ The quantile of Errors is: 0.10 2.0 0.25 3.0 0.50 7.0 0.75 13.0 0.90 18.0 0.95 21.9 Name: Errors, dtype: float64 ------------------------------------ The mean of Errors is: 8.593155893536121
data2['League'].value_counts()
A 139 N 124 Name: League, dtype: int64
data2['Division'].value_counts()
W 134 E 129 Name: Division, dtype: int64
data2['NewLeague'].value_counts()
A 141 N 122 Name: NewLeague, dtype: int64
from sklearn.model_selection import train_test_split
train, test = train_test_split(data2, test_size = 0.2, random_state = 1234)
print(f'The Shape of train is: {train.shape}')
print(f'The Shape of test is: {test.shape}')
The Shape of train is: (210, 20) The Shape of test is: (53, 20)
train.describe()
| AtBat | Hits | HmRun | Runs | RBI | Walks | Years | CAtBat | CHits | CHmRun | CRuns | CRBI | CWalks | PutOuts | Assists | Errors | Salary | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| count | 210.000000 | 210.000000 | 210.000000 | 210.000000 | 210.000000 | 210.000000 | 210.000000 | 210.000000 | 210.000000 | 210.000000 | 210.000000 | 210.000000 | 210.000000 | 210.000000 | 210.000000 | 210.000000 | 210.000000 |
| mean | 409.009524 | 109.923810 | 11.880952 | 55.871429 | 52.290476 | 41.838095 | 7.409524 | 2658.804762 | 721.333333 | 70.361905 | 360.742857 | 331.709524 | 259.609524 | 292.023810 | 111.880952 | 8.228571 | 562.288433 |
| std | 148.097730 | 46.149683 | 8.872306 | 25.833802 | 26.641091 | 21.846408 | 4.624038 | 2126.724958 | 596.666853 | 83.085605 | 307.176493 | 315.682880 | 251.547022 | 275.904453 | 143.031332 | 6.307521 | 466.852811 |
| min | 20.000000 | 1.000000 | 0.000000 | 0.000000 | 0.000000 | 0.000000 | 1.000000 | 41.000000 | 9.000000 | 0.000000 | 6.000000 | 7.000000 | 4.000000 | 0.000000 | 0.000000 | 0.000000 | 68.000000 |
| 25% | 283.000000 | 73.000000 | 5.000000 | 34.000000 | 30.000000 | 24.000000 | 4.000000 | 928.250000 | 230.250000 | 15.000000 | 116.250000 | 99.250000 | 76.500000 | 110.250000 | 7.000000 | 3.000000 | 210.000000 |
| 50% | 417.000000 | 105.500000 | 9.000000 | 53.500000 | 47.000000 | 37.500000 | 6.000000 | 2035.500000 | 546.500000 | 40.000000 | 278.500000 | 251.500000 | 179.500000 | 226.000000 | 41.500000 | 6.000000 | 450.000000 |
| 75% | 528.750000 | 144.750000 | 18.000000 | 76.000000 | 73.000000 | 57.000000 | 11.000000 | 3900.250000 | 1058.000000 | 92.750000 | 493.500000 | 419.750000 | 318.500000 | 318.500000 | 172.250000 | 12.750000 | 761.250000 |
| max | 687.000000 | 238.000000 | 40.000000 | 130.000000 | 121.000000 | 105.000000 | 20.000000 | 9528.000000 | 2583.000000 | 548.000000 | 1509.000000 | 1659.000000 | 1380.000000 | 1377.000000 | 492.000000 | 29.000000 | 2460.000000 |
test.describe()
| AtBat | Hits | HmRun | Runs | RBI | Walks | Years | CAtBat | CHits | CHmRun | CRuns | CRBI | CWalks | PutOuts | Assists | Errors | Salary | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| count | 53.000000 | 53.000000 | 53.000000 | 53.000000 | 53.000000 | 53.000000 | 53.000000 | 53.000000 | 53.000000 | 53.000000 | 53.000000 | 53.000000 | 53.000000 | 53.000000 | 53.000000 | 53.000000 | 53.000000 |
| mean | 382.377358 | 99.528302 | 10.584906 | 50.283019 | 48.301887 | 38.245283 | 6.924528 | 2652.547170 | 725.566038 | 64.792453 | 363.113208 | 325.301887 | 262.867925 | 285.509434 | 146.018868 | 10.037736 | 431.470491 |
| std | 143.530113 | 40.146177 | 8.284448 | 24.056326 | 22.577716 | 21.160473 | 5.445001 | 2857.368387 | 828.292045 | 79.190947 | 416.452493 | 355.362414 | 311.416370 | 298.059211 | 151.253797 | 7.572629 | 368.025230 |
| min | 19.000000 | 4.000000 | 0.000000 | 2.000000 | 3.000000 | 1.000000 | 1.000000 | 19.000000 | 4.000000 | 0.000000 | 2.000000 | 3.000000 | 1.000000 | 0.000000 | 0.000000 | 0.000000 | 67.500000 |
| 25% | 278.000000 | 70.000000 | 3.000000 | 32.000000 | 32.000000 | 22.000000 | 3.000000 | 682.000000 | 170.000000 | 16.000000 | 93.000000 | 80.000000 | 50.000000 | 117.000000 | 9.000000 | 4.000000 | 155.000000 |
| 50% | 360.000000 | 103.000000 | 9.000000 | 48.000000 | 47.000000 | 34.000000 | 5.000000 | 1399.000000 | 357.000000 | 36.000000 | 168.000000 | 154.000000 | 128.000000 | 203.000000 | 80.000000 | 8.000000 | 297.500000 |
| 75% | 511.000000 | 138.000000 | 17.000000 | 68.000000 | 60.000000 | 56.000000 | 10.000000 | 3828.000000 | 970.000000 | 90.000000 | 575.000000 | 458.000000 | 359.000000 | 325.000000 | 269.000000 | 16.000000 | 670.000000 |
| max | 584.000000 | 163.000000 | 33.000000 | 107.000000 | 104.000000 | 83.000000 | 24.000000 | 14053.000000 | 4256.000000 | 384.000000 | 2165.000000 | 1314.000000 | 1566.000000 | 1320.000000 | 465.000000 | 32.000000 | 1861.460000 |
final_dataset_train = pd.get_dummies(train,drop_first=True)
final_dataset_train.head()
| AtBat | Hits | HmRun | Runs | RBI | Walks | Years | CAtBat | CHits | CHmRun | CRuns | CRBI | CWalks | PutOuts | Assists | Errors | Salary | League_N | Division_W | NewLeague_N | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 98 | 415 | 115 | 27 | 97 | 71 | 68 | 3 | 711 | 184 | 45 | 156 | 119 | 99 | 274 | 2 | 7 | 300.0 | 1 | 1 | 1 |
| 206 | 407 | 93 | 8 | 47 | 30 | 30 | 2 | 969 | 230 | 14 | 121 | 69 | 68 | 172 | 317 | 25 | 150.0 | 1 | 1 | 1 |
| 54 | 403 | 101 | 12 | 45 | 53 | 39 | 12 | 5150 | 1429 | 166 | 747 | 666 | 526 | 316 | 6 | 5 | 675.0 | 0 | 0 | 0 |
| 177 | 441 | 118 | 28 | 84 | 86 | 68 | 8 | 2723 | 750 | 126 | 433 | 420 | 309 | 190 | 2 | 2 | 1300.0 | 0 | 0 | 0 |
| 27 | 474 | 129 | 10 | 50 | 56 | 40 | 10 | 2331 | 604 | 61 | 246 | 327 | 166 | 732 | 83 | 13 | 750.0 | 1 | 1 | 1 |
X_train = final_dataset_train.iloc[:, list(range(0,16)) + list(range(17, 20))]
y_train = final_dataset_train.iloc[:, 16]
X_train = sm.add_constant(X_train)
y_train
98 300.0
206 150.0
54 675.0
177 1300.0
27 750.0
...
183 125.0
192 525.0
256 400.0
72 850.0
263 740.0
Name: Salary, Length: 210, dtype: float64
final_dataset_test = pd.get_dummies(test, drop_first=True)
final_dataset_test.head()
| AtBat | Hits | HmRun | Runs | RBI | Walks | Years | CAtBat | CHits | CHmRun | CRuns | CRBI | CWalks | PutOuts | Assists | Errors | Salary | League_N | Division_W | NewLeague_N | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 295 | 19 | 4 | 1 | 2 | 3 | 1 | 1 | 19 | 4 | 1 | 2 | 3 | 1 | 692 | 70 | 8 | 920.0 | 1 | 1 | 0 |
| 132 | 278 | 70 | 7 | 22 | 37 | 18 | 18 | 7186 | 2081 | 190 | 935 | 1088 | 643 | 0 | 0 | 0 | 325.0 | 0 | 1 | 0 |
| 137 | 343 | 103 | 6 | 48 | 36 | 40 | 15 | 4338 | 1193 | 70 | 581 | 421 | 325 | 211 | 56 | 13 | 430.0 | 0 | 0 | 0 |
| 268 | 549 | 149 | 7 | 73 | 47 | 42 | 1 | 549 | 149 | 7 | 73 | 47 | 42 | 255 | 450 | 17 | 140.0 | 1 | 1 | 1 |
| 239 | 309 | 72 | 0 | 33 | 31 | 26 | 5 | 354 | 82 | 0 | 41 | 32 | 26 | 117 | 269 | 12 | 130.0 | 1 | 0 | 1 |
X_test = final_dataset_test.iloc[:, list(range(0,16)) + list(range(17, 20))]
y_test = final_dataset_test.iloc[:, 16]
X_test = sm.add_constant(X_test)
y_test
295 920.000 132 325.000 137 430.000 268 140.000 239 130.000 128 662.500 189 1183.333 209 550.000 276 155.000 236 750.000 227 200.000 320 960.000 215 175.000 178 1000.000 121 200.000 265 140.000 45 305.000 274 200.000 40 67.500 244 215.000 198 145.000 303 425.000 7 100.000 78 325.000 96 1861.460 68 105.000 223 240.000 35 850.000 93 145.000 130 750.000 311 525.000 6 70.000 131 297.500 63 225.000 205 90.000 89 475.000 293 925.000 314 120.000 8 75.000 10 517.143 88 260.000 85 600.000 124 737.500 185 725.000 262 191.000 43 180.000 162 75.000 214 670.000 301 160.000 70 320.000 226 175.000 271 1000.000 195 800.000 Name: Salary, dtype: float64
import statsmodels.api as sm
model1 = sm.OLS(y_train, X_train).fit()
model1.summary()
| Dep. Variable: | Salary | R-squared: | 0.551 |
|---|---|---|---|
| Model: | OLS | Adj. R-squared: | 0.506 |
| Method: | Least Squares | F-statistic: | 12.28 |
| Date: | Fri, 28 May 2021 | Prob (F-statistic): | 4.97e-24 |
| Time: | 13:50:50 | Log-Likelihood: | -1504.0 |
| No. Observations: | 210 | AIC: | 3048. |
| Df Residuals: | 190 | BIC: | 3115. |
| Df Model: | 19 | ||
| Covariance Type: | nonrobust |
| coef | std err | t | P>|t| | [0.025 | 0.975] | |
|---|---|---|---|---|---|---|
| const | 184.2280 | 107.371 | 1.716 | 0.088 | -27.565 | 396.021 |
| AtBat | -1.7540 | 0.751 | -2.336 | 0.021 | -3.235 | -0.273 |
| Hits | 6.5979 | 2.885 | 2.287 | 0.023 | 0.907 | 12.289 |
| HmRun | 7.3090 | 7.597 | 0.962 | 0.337 | -7.675 | 22.293 |
| Runs | -2.7338 | 3.582 | -0.763 | 0.446 | -9.799 | 4.332 |
| RBI | -1.3503 | 3.172 | -0.426 | 0.671 | -7.608 | 4.908 |
| Walks | 5.4445 | 2.263 | 2.406 | 0.017 | 0.981 | 9.908 |
| Years | -6.5675 | 14.116 | -0.465 | 0.642 | -34.412 | 21.277 |
| CAtBat | -0.2467 | 0.172 | -1.433 | 0.154 | -0.586 | 0.093 |
| CHits | 0.5802 | 0.895 | 0.648 | 0.518 | -1.185 | 2.346 |
| CHmRun | 0.0299 | 2.025 | 0.015 | 0.988 | -3.965 | 4.025 |
| CRuns | 1.4403 | 0.886 | 1.625 | 0.106 | -0.308 | 3.189 |
| CRBI | 0.3874 | 0.911 | 0.425 | 0.671 | -1.409 | 2.184 |
| CWalks | -0.6119 | 0.410 | -1.491 | 0.137 | -1.421 | 0.197 |
| PutOuts | 0.2961 | 0.094 | 3.141 | 0.002 | 0.110 | 0.482 |
| Assists | 0.2956 | 0.249 | 1.187 | 0.237 | -0.195 | 0.787 |
| Errors | 0.7347 | 5.199 | 0.141 | 0.888 | -9.520 | 10.990 |
| League_N | 5.0153 | 97.960 | 0.051 | 0.959 | -188.214 | 198.245 |
| Division_W | -134.5539 | 47.964 | -2.805 | 0.006 | -229.164 | -39.944 |
| NewLeague_N | 36.0810 | 98.757 | 0.365 | 0.715 | -158.719 | 230.881 |
| Omnibus: | 71.108 | Durbin-Watson: | 1.950 |
|---|---|---|---|
| Prob(Omnibus): | 0.000 | Jarque-Bera (JB): | 366.871 |
| Skew: | 1.201 | Prob(JB): | 2.16e-80 |
| Kurtosis: | 9.013 | Cond. No. | 2.17e+04 |
#Check Assumptions of Regression
#Normality of residuals
#Plot histogram of residuals
sns.distplot(model1.resid, hist = True,
kde = True, color = 'green',
bins = np.linspace(min(model1.resid), max(model1.resid), 30))
<matplotlib.axes._subplots.AxesSubplot at 0x23538340cc8>
#QQ-plot
qqplot_model1 = sm.qqplot(model1.resid, line = 's')
plt.show()
#Residuals vs. Fitted Values
sns.regplot(x = model1.fittedvalues, y = model1.resid, lowess = True,
scatter_kws = {"color": "black"}, line_kws = {"color": "red"})
plt.xlabel('Fitted Values', fontsize = 12)
plt.ylabel('Residuals', fontsize = 12)
plt.title('Residuals vs. Fitted Values', fontsize = 12)
plt.grid()
#Check Cook's distance
sum(model1.get_influence().summary_frame().cooks_d > 1)
0
#Check Multicollinearity
#Import library for VIF
from statsmodels.stats.outliers_influence import variance_inflation_factor
def calc_vif(X):
# Calculating VIF
vif = pd.DataFrame()
vif["variables"] = X.columns
vif["VIF"] = [variance_inflation_factor(X.values, i) for i in range(X.shape[1])]
return(vif)
calc_vif(X_train.iloc[:, 1:])
#If VIF > 10 then multicollinearity is high
| variables | VIF | |
|---|---|---|
| 0 | AtBat | 184.789083 |
| 1 | Hits | 228.168969 |
| 2 | HmRun | 24.624973 |
| 3 | Runs | 94.783224 |
| 4 | RBI | 67.555583 |
| 5 | Walks | 22.239021 |
| 6 | Years | 19.479370 |
| 7 | CAtBat | 661.537532 |
| 8 | CHits | 1367.185526 |
| 9 | CHmRun | 94.537823 |
| 10 | CRuns | 343.366050 |
| 11 | CRBI | 338.173807 |
| 12 | CWalks | 42.705439 |
| 13 | PutOuts | 2.791098 |
| 14 | Assists | 3.884531 |
| 15 | Errors | 5.490002 |
| 16 | League_N | 8.454530 |
| 17 | Division_W | 2.211985 |
| 18 | NewLeague_N | 8.518855 |
y_pred_model1 = model1.predict(X_test)
abs_err_model1 = np.abs(y_pred_model1 - y_test)
#Absolute error mean, median, sd, IQR, max, min
from scipy.stats import iqr
model_comp = pd.DataFrame({'Mean of AbsErrors': abs_err_model1.mean(),
'Median of AbsErrors' : abs_err_model1.median(),
'SD of AbsErrors' : abs_err_model1.std(),
'IQR of AbsErrors': iqr(abs_err_model1),
'Min of AbsErrors': abs_err_model1.min(),
'Max of AbsErrors': abs_err_model1.max()}, index = ['Model1: Linear-Ragression'])
model_comp
| Mean of AbsErrors | Median of AbsErrors | SD of AbsErrors | IQR of AbsErrors | Min of AbsErrors | Max of AbsErrors | |
|---|---|---|---|---|---|---|
| Model1: Linear-Ragression | 223.148958 | 158.57417 | 198.785517 | 216.725217 | 3.569232 | 1047.957143 |
y_pred = y_pred_model1
y_test = y_test
model = 'model1_ClassicalRegression'
plt.figure(figsize=(15, 15), dpi = 150);
plt.subplots_adjust(hspace = 0.25, wspace = 0.25);
plt.subplots(figsize=(16,6));
plt.scatter(x = y_test, y = y_pred, color = 'blue');
#Add 45 degree line
xp = np.linspace(y_test.min(), y_test.max(), 100)
plt.plot(xp, xp, 'k', alpha = 0.9, linewidth = 2, color = 'red')
plt.xlabel('Actual Value');
plt.ylabel('Predicted Value');
plt.title(f'{model}');
plt.subplots(figsize=(17,6));
x_points = list(range(len(y_test)));
plt.plot(x_points, y_test, label='y_real', color = 'blue');
plt.plot(x_points, y_pred, label='y_predict', color = 'red');
plt.legend();
plt.title(f'{model}');
plt.show();
<Figure size 2250x2250 with 0 Axes>
print('MAE:', metrics.mean_absolute_error(y_test, y_pred_model1))
print('MSE:', metrics.mean_squared_error(y_test, y_pred_model1))
print('RMSE:', np.sqrt(metrics.mean_squared_error(y_test, y_pred_model1)))
MAE: 223.14895772642777 MSE: 88565.56020433208 RMSE: 297.5996643216052
from scipy.stats import boxcox
box_results = boxcox(y_train, alpha = 0.05)
box_results
(array([ 8.68767642, 7.23164837, 10.57834815, 12.26939869, 10.83994871,
6.62404411, 7.71258662, 8.68767642, 10.83994871, 8.96581785,
11.22963399, 12.37152681, 9.42809521, 11.68471715, 11.22963399,
10.2903865 , 11.07990572, 10.01452882, 6.24460125, 9.33424139,
12.18523005, 8.49713804, 9.18694201, 9.85379764, 12.05455555,
6.19217269, 8.29104472, 8.97678487, 9.12564319, 8.58783864,
10.69755487, 12.26939869, 9.33424139, 13.38038527, 6.62404411,
14.01171784, 10.66821468, 10.38965872, 11.15571849, 11.30175192,
9.60648041, 7.84493411, 6.44250966, 7.42366699, 10.08065305,
8.4167188 , 7.92100039, 12.83795386, 5.73192967, 10.66821468,
9.99213228, 11.57398419, 10.34045899, 10.91673547, 12.26939869,
6.44250966, 11.44095555, 9.60648041, 13.35909851, 11.22963399,
9.60648041, 13.4314587 , 9.03092529, 9.7940383 , 10.92754387,
10.79796189, 6.24460125, 10.44759156, 11.82369329, 9.03092529,
8.29104472, 6.34580001, 8.15869764, 9.47381214, 10.2083691 ,
8.26947055, 5.90887785, 7.23164837, 9.24684836, 10.01452882,
11.0490254 , 7.92100039, 8.49713804, 11.99844039, 11.41362834,
10.80640804, 8.68767642, 10.12387788, 7.54348268, 6.17083928,
11.68053376, 7.81903891, 9.50893969, 8.51684866, 12.56636821,
11.30175192, 5.78403001, 10.08065305, 6.53513949, 10.38965872,
9.75754601, 10.18748446, 8.87639431, 6.44250966, 6.44250966,
10.88954435, 10.66821468, 10.92214468, 10.93830915, 10.78382886,
11.44095555, 6.02674989, 9.73294395, 12.13686831, 9.85379764,
13.32103433, 8.06636227, 10.83994871, 11.3952698 , 7.02231014,
7.54348268, 9.24684836, 10.83994871, 8.68767642, 9.91228345,
8.29104472, 10.66821468, 7.65753831, 9.85379764, 9.60648041,
7.76640072, 10.40910151, 5.78403001, 8.29104472, 7.361395 ,
6.39468899, 11.30175192, 6.70953284, 7.42366699, 8.11296232,
13.64505006, 7.2974233 , 10.83994871, 5.78403001, 10.83994871,
10.27010554, 9.41885521, 7.02231014, 6.24460125, 7.97042109,
9.11009262, 5.90887785, 8.49713804, 9.33424139, 9.73294395,
10.2903865 , 9.12564319, 8.20360216, 10.66821468, 12.65948133,
10.23940707, 6.7918772 , 11.94128703, 9.60648041, 12.95725001,
10.92214468, 7.71258662, 6.44250966, 11.15571849, 8.29104472,
8.68767642, 12.29009183, 10.2903865 , 9.85379764, 6.27545912,
8.24770782, 9.80609493, 7.2974233 , 13.16780716, 8.97678487,
11.70140085, 10.48556693, 7.97042109, 11.22963399, 14.06912423,
5.90887785, 7.09422321, 8.29104472, 9.47381214, 5.78403001,
12.09872706, 6.24460125, 11.59559513, 8.51684866, 7.50817102,
6.62404411, 6.62404411, 10.51185131, 10.80640804, 9.44647459,
7.05134634, 6.24460125, 10.96238926, 9.03092529, 11.00208722,
6.8713169 , 9.96955296, 9.33424139, 11.15571849, 10.80640804]),
0.13847533404638804,
(-0.01298332655171587, 0.28931544347094323))
logy_train = np.log(y_train)
import statsmodels.api as sm
model1_box = sm.OLS(logy_train, X_train).fit()
model1_box.summary()
| Dep. Variable: | Salary | R-squared: | 0.569 |
|---|---|---|---|
| Model: | OLS | Adj. R-squared: | 0.526 |
| Method: | Least Squares | F-statistic: | 13.22 |
| Date: | Fri, 28 May 2021 | Prob (F-statistic): | 1.28e-25 |
| Time: | 13:51:00 | Log-Likelihood: | -184.45 |
| No. Observations: | 210 | AIC: | 408.9 |
| Df Residuals: | 190 | BIC: | 475.8 |
| Df Model: | 19 | ||
| Covariance Type: | nonrobust |
| coef | std err | t | P>|t| | [0.025 | 0.975] | |
|---|---|---|---|---|---|---|
| const | 4.6187 | 0.200 | 23.047 | 0.000 | 4.223 | 5.014 |
| AtBat | -0.0023 | 0.001 | -1.658 | 0.099 | -0.005 | 0.000 |
| Hits | 0.0128 | 0.005 | 2.373 | 0.019 | 0.002 | 0.023 |
| HmRun | 0.0191 | 0.014 | 1.348 | 0.179 | -0.009 | 0.047 |
| Runs | -0.0045 | 0.007 | -0.671 | 0.503 | -0.018 | 0.009 |
| RBI | -0.0036 | 0.006 | -0.612 | 0.541 | -0.015 | 0.008 |
| Walks | 0.0099 | 0.004 | 2.349 | 0.020 | 0.002 | 0.018 |
| Years | 0.0535 | 0.026 | 2.030 | 0.044 | 0.002 | 0.105 |
| CAtBat | 6.129e-05 | 0.000 | 0.191 | 0.849 | -0.001 | 0.001 |
| CHits | -0.0003 | 0.002 | -0.171 | 0.864 | -0.004 | 0.003 |
| CHmRun | -0.0009 | 0.004 | -0.243 | 0.808 | -0.008 | 0.007 |
| CRuns | 0.0018 | 0.002 | 1.105 | 0.271 | -0.001 | 0.005 |
| CRBI | 9.632e-05 | 0.002 | 0.057 | 0.955 | -0.003 | 0.003 |
| CWalks | -0.0012 | 0.001 | -1.529 | 0.128 | -0.003 | 0.000 |
| PutOuts | 0.0003 | 0.000 | 1.489 | 0.138 | -8.5e-05 | 0.001 |
| Assists | 0.0004 | 0.000 | 0.907 | 0.366 | -0.000 | 0.001 |
| Errors | -0.0048 | 0.010 | -0.496 | 0.621 | -0.024 | 0.014 |
| League_N | 0.1897 | 0.183 | 1.038 | 0.301 | -0.171 | 0.550 |
| Division_W | -0.2023 | 0.090 | -2.260 | 0.025 | -0.379 | -0.026 |
| NewLeague_N | -0.0796 | 0.184 | -0.432 | 0.666 | -0.443 | 0.284 |
| Omnibus: | 12.886 | Durbin-Watson: | 2.000 |
|---|---|---|---|
| Prob(Omnibus): | 0.002 | Jarque-Bera (JB): | 32.178 |
| Skew: | 0.099 | Prob(JB): | 1.03e-07 |
| Kurtosis: | 4.907 | Cond. No. | 2.17e+04 |
X_train.drop('const', axis = 1, inplace = True)
X_test.drop('const', axis = 1, inplace = True)
from sklearn.linear_model import Ridge, RidgeCV
lambda_grid = 10 ** np.linspace(2, -5, num = 100)
lambda_grid
array([1.00000000e+02, 8.49753436e+01, 7.22080902e+01, 6.13590727e+01,
5.21400829e+01, 4.43062146e+01, 3.76493581e+01, 3.19926714e+01,
2.71858824e+01, 2.31012970e+01, 1.96304065e+01, 1.66810054e+01,
1.41747416e+01, 1.20450354e+01, 1.02353102e+01, 8.69749003e+00,
7.39072203e+00, 6.28029144e+00, 5.33669923e+00, 4.53487851e+00,
3.85352859e+00, 3.27454916e+00, 2.78255940e+00, 2.36448941e+00,
2.00923300e+00, 1.70735265e+00, 1.45082878e+00, 1.23284674e+00,
1.04761575e+00, 8.90215085e-01, 7.56463328e-01, 6.42807312e-01,
5.46227722e-01, 4.64158883e-01, 3.94420606e-01, 3.35160265e-01,
2.84803587e-01, 2.42012826e-01, 2.05651231e-01, 1.74752840e-01,
1.48496826e-01, 1.26185688e-01, 1.07226722e-01, 9.11162756e-02,
7.74263683e-02, 6.57933225e-02, 5.59081018e-02, 4.75081016e-02,
4.03701726e-02, 3.43046929e-02, 2.91505306e-02, 2.47707636e-02,
2.10490414e-02, 1.78864953e-02, 1.51991108e-02, 1.29154967e-02,
1.09749877e-02, 9.32603347e-03, 7.92482898e-03, 6.73415066e-03,
5.72236766e-03, 4.86260158e-03, 4.13201240e-03, 3.51119173e-03,
2.98364724e-03, 2.53536449e-03, 2.15443469e-03, 1.83073828e-03,
1.55567614e-03, 1.32194115e-03, 1.12332403e-03, 9.54548457e-04,
8.11130831e-04, 6.89261210e-04, 5.85702082e-04, 4.97702356e-04,
4.22924287e-04, 3.59381366e-04, 3.05385551e-04, 2.59502421e-04,
2.20513074e-04, 1.87381742e-04, 1.59228279e-04, 1.35304777e-04,
1.14975700e-04, 9.77009957e-05, 8.30217568e-05, 7.05480231e-05,
5.99484250e-05, 5.09413801e-05, 4.32876128e-05, 3.67837977e-05,
3.12571585e-05, 2.65608778e-05, 2.25701972e-05, 1.91791026e-05,
1.62975083e-05, 1.38488637e-05, 1.17681195e-05, 1.00000000e-05])
lambda_grid = np.linspace(.2, .36, num = 100)
lambda_grid
array([0.2 , 0.20161616, 0.20323232, 0.20484848, 0.20646465,
0.20808081, 0.20969697, 0.21131313, 0.21292929, 0.21454545,
0.21616162, 0.21777778, 0.21939394, 0.2210101 , 0.22262626,
0.22424242, 0.22585859, 0.22747475, 0.22909091, 0.23070707,
0.23232323, 0.23393939, 0.23555556, 0.23717172, 0.23878788,
0.24040404, 0.2420202 , 0.24363636, 0.24525253, 0.24686869,
0.24848485, 0.25010101, 0.25171717, 0.25333333, 0.25494949,
0.25656566, 0.25818182, 0.25979798, 0.26141414, 0.2630303 ,
0.26464646, 0.26626263, 0.26787879, 0.26949495, 0.27111111,
0.27272727, 0.27434343, 0.2759596 , 0.27757576, 0.27919192,
0.28080808, 0.28242424, 0.2840404 , 0.28565657, 0.28727273,
0.28888889, 0.29050505, 0.29212121, 0.29373737, 0.29535354,
0.2969697 , 0.29858586, 0.30020202, 0.30181818, 0.30343434,
0.30505051, 0.30666667, 0.30828283, 0.30989899, 0.31151515,
0.31313131, 0.31474747, 0.31636364, 0.3179798 , 0.31959596,
0.32121212, 0.32282828, 0.32444444, 0.32606061, 0.32767677,
0.32929293, 0.33090909, 0.33252525, 0.33414141, 0.33575758,
0.33737374, 0.3389899 , 0.34060606, 0.34222222, 0.34383838,
0.34545455, 0.34707071, 0.34868687, 0.35030303, 0.35191919,
0.35353535, 0.35515152, 0.35676768, 0.35838384, 0.36 ])
ridge_cv = RidgeCV(alphas = lambda_grid, cv = 10, normalize = True)
ridge_cv.fit(X_train, logy_train)
ridge_cv.alpha_
0.33414141414141413
model2 = Ridge(normalize = True, alpha = ridge_cv.alpha_)
model2.fit(X_train, logy_train)
y_pred_model2 = model2.predict(X_test)
y_pred_model2 = np.exp(y_pred_model2)
abs_err_model2 = np.abs(y_pred_model2 - y_test)
sns.distplot(y_test - y_pred_model2)
<matplotlib.axes._subplots.AxesSubplot at 0x23539141508>
plt.scatter(y_test , y_pred_model2)
<matplotlib.collections.PathCollection at 0x2353914b508>
print('MAE:', metrics.mean_absolute_error(y_test, y_pred_model2))
print('MSE:', metrics.mean_squared_error(y_test, y_pred_model2))
print('RMSE:', np.sqrt(metrics.mean_squared_error(y_test, y_pred_model2)))
MAE: 226.44167398010137 MSE: 135811.2350773115 RMSE: 368.5257590417683
from sklearn.metrics import r2_score
y_pred = y_pred_model2
y_test = y_test
model = 'model 2 Ridge Regression'
plt.figure(figsize=(15, 15), dpi = 150);
plt.subplots_adjust(hspace = 0.25, wspace = 0.25);
plt.subplots(figsize=(16,6));
plt.scatter(x = y_test, y = y_pred, color = 'blue');
#Add 45 degree line
xp = np.linspace(y_test.min(), y_test.max(), 100)
plt.plot(xp, xp, 'k', alpha = 0.9, linewidth = 2, color = 'red')
plt.xlabel('Actual Value');
plt.ylabel('Predicted Value');
plt.title(f'{model}');
plt.subplots(figsize=(17,6));
x_points = list(range(len(y_test)));
plt.plot(x_points, y_test, label='y_real', color = 'blue');
plt.plot(x_points, y_pred, label='y_predict', color = 'red');
plt.legend();
plt.grid()
plt.title(f'{model}');
plt.show();
<Figure size 2250x2250 with 0 Axes>
model_comp = model_comp.append(pd.DataFrame({'Mean of AbsErrors': abs_err_model2.mean(),
'Median of AbsErrors' : abs_err_model2.median(),
'SD of AbsErrors' : abs_err_model2.std(),
'IQR of AbsErrors': iqr(abs_err_model2),
'Min of AbsErrors': abs_err_model2.min(),
'Max of AbsErrors': abs_err_model2.max()}, index = ['Model2: Ridge Regression']),
ignore_index = False)
model_comp
| Mean of AbsErrors | Median of AbsErrors | SD of AbsErrors | IQR of AbsErrors | Min of AbsErrors | Max of AbsErrors | |
|---|---|---|---|---|---|---|
| Model1: Linear-Ragression | 223.148958 | 158.57417 | 198.785517 | 216.725217 | 3.569232 | 1047.957143 |
| Model2: Ridge Regression | 226.441674 | 151.02955 | 293.532084 | 136.707544 | 7.679097 | 1897.768941 |
from sklearn.linear_model import Lasso, LassoCV
lambda_grid = 10 ** np.linspace(2, -5, num = 100)
lambda_grid = np.linspace(0.0001, 0.01, num = 100)
#K-fold Cross Validation to Choose the Best Model
lassocv = LassoCV(alphas = lambda_grid, cv = 10, normalize = True)
lassocv.fit(X_train, logy_train)
lassocv.alpha_
0.0015
model3 = Lasso(alpha = lassocv.alpha_, normalize = True)
model3.fit(X_train, logy_train)
y_pred_model3 = model3.predict(X_test)
y_pred_model3 = np.exp(y_pred_model3)
abs_err_model3 = np.abs(y_pred_model3 - y_test)
sns.distplot(y_test - y_pred_model3)
<matplotlib.axes._subplots.AxesSubplot at 0x2353921fe88>
plt.scatter(y_test , y_pred_model3)
<matplotlib.collections.PathCollection at 0x235392b5948>
print('MAE:', metrics.mean_absolute_error(y_test, y_pred_model3))
print('MSE:', metrics.mean_squared_error(y_test, y_pred_model3))
print('RMSE:', np.sqrt(metrics.mean_squared_error(y_test, y_pred_model3)))
MAE: 294.6218817951447 MSE: 198245.4630943862 RMSE: 445.24764243551726
from sklearn.metrics import r2_score
y_pred = y_pred_model3
y_test = y_test
model = 'model 3 Lasso Regression'
plt.figure(figsize=(15, 15), dpi = 150);
plt.subplots_adjust(hspace = 0.25, wspace = 0.25);
plt.subplots(figsize=(16,6));
plt.scatter(x = y_test, y = y_pred, color = 'blue');
#Add 45 degree line
xp = np.linspace(y_test.min(), y_test.max(), 100)
plt.plot(xp, xp, 'k', alpha = 0.9, linewidth = 2, color = 'red')
plt.xlabel('Actual Value');
plt.ylabel('Predicted Value');
plt.title(f'{model}');
plt.subplots(figsize=(17,6));
x_points = list(range(len(y_test)));
plt.plot(x_points, y_test, label='y_real', color = 'blue');
plt.plot(x_points, y_pred, label='y_predict', color = 'red');
plt.legend();
plt.grid()
plt.title(f'{model}');
plt.show();
<Figure size 2250x2250 with 0 Axes>
model_comp = model_comp.append(pd.DataFrame({'Mean of AbsErrors': abs_err_model3.mean(),
'Median of AbsErrors' : abs_err_model3.median(),
'SD of AbsErrors' : abs_err_model3.std(),
'IQR of AbsErrors': iqr(abs_err_model3),
'Min of AbsErrors': abs_err_model3.min(),
'Max of AbsErrors': abs_err_model3.max()}, index = ['Model3: Lasso Regression']),
ignore_index = False)
model_comp
| Mean of AbsErrors | Median of AbsErrors | SD of AbsErrors | IQR of AbsErrors | Min of AbsErrors | Max of AbsErrors | |
|---|---|---|---|---|---|---|
| Model1: Linear-Ragression | 223.148958 | 158.574170 | 198.785517 | 216.725217 | 3.569232 | 1047.957143 |
| Model2: Ridge Regression | 226.441674 | 151.029550 | 293.532084 | 136.707544 | 7.679097 | 1897.768941 |
| Model3: Lasso Regression | 235.833326 | 142.116905 | 324.730397 | 156.625954 | 3.744212 | 2181.596147 |
from sklearn.neighbors import KNeighborsRegressor
model4 = KNeighborsRegressor(n_neighbors = 2, metric = 'minkowski', p = 2)
model4.fit(X_train, logy_train)
y_pred_model4 = model4.predict(X_test)
y_pred_model4 = np.exp(y_pred_model4)
abs_err_model4 = np.abs(y_pred_model4 - y_test)
sns.distplot(y_test - y_pred_model4)
<matplotlib.axes._subplots.AxesSubplot at 0x2353f134e48>
plt.scatter(y_test , y_pred_model4)
<matplotlib.collections.PathCollection at 0x2353f1ffa88>
print('MAE:', metrics.mean_absolute_error(y_test, y_pred_model4))
print('MSE:', metrics.mean_squared_error(y_test, y_pred_model4))
print('RMSE:', np.sqrt(metrics.mean_squared_error(y_test, y_pred_model4)))
MAE: 160.4074775800345 MSE: 61439.30636882631 RMSE: 247.8695349752089
from sklearn.metrics import r2_score
y_pred = y_pred_model4
y_test = y_test
model = 'model4 KNN Regression'
plt.figure(figsize=(15, 15), dpi = 150);
plt.subplots_adjust(hspace = 0.25, wspace = 0.25);
plt.subplots(figsize=(16,6));
plt.scatter(x = y_test, y = y_pred, color = 'blue');
#Add 45 degree line
xp = np.linspace(y_test.min(), y_test.max(), 100)
plt.plot(xp, xp, 'k', alpha = 0.9, linewidth = 2, color = 'red')
plt.xlabel('Actual Value');
plt.ylabel('Predicted Value');
plt.title(f'{model}');
plt.subplots(figsize=(17,6));
x_points = list(range(len(y_test)));
plt.plot(x_points, y_test, label='y_real', color = 'blue');
plt.plot(x_points, y_pred, label='y_predict', color = 'red');
plt.legend();
plt.grid()
plt.title(f'{model}');
plt.show();
<Figure size 2250x2250 with 0 Axes>
model_comp = model_comp.append(pd.DataFrame({'Mean of AbsErrors': abs_err_model4.mean(),
'Median of AbsErrors' : abs_err_model4.median(),
'SD of AbsErrors' : abs_err_model4.std(),
'IQR of AbsErrors': iqr(abs_err_model4),
'Min of AbsErrors': abs_err_model4.min(),
'Max of AbsErrors': abs_err_model4.max()}, index = ['Model4: KNN Regression']),
ignore_index = False)
model_comp
| Mean of AbsErrors | Median of AbsErrors | SD of AbsErrors | IQR of AbsErrors | Min of AbsErrors | Max of AbsErrors | |
|---|---|---|---|---|---|---|
| Model1: Linear-Ragression | 223.148958 | 158.574170 | 198.785517 | 216.725217 | 3.569232 | 1047.957143 |
| Model2: Ridge Regression | 226.441674 | 151.029550 | 293.532084 | 136.707544 | 7.679097 | 1897.768941 |
| Model3: Lasso Regression | 235.833326 | 142.116905 | 324.730397 | 156.625954 | 3.744212 | 2181.596147 |
| Model4: KNN Regression | 160.407478 | 81.167175 | 190.775927 | 226.393202 | 2.543116 | 837.841616 |
from sklearn.model_selection import cross_val_score
n_neighbors = np.arange(1, 20)
cv = 4
cvscores = np.empty((len(n_neighbors), 2))
counter = -1
for k in n_neighbors:
counter += 1
knn = KNeighborsRegressor(n_neighbors = k, metric = 'minkowski', p = 2)
cvscores[counter, :] = np.array([k, np.mean(cross_val_score(knn, X_train, y_train, cv = cv))])
cvscores[np.argmax(cvscores[:, 1]), :]
array([3. , 0.40149674])
from sklearn.tree import DecisionTreeRegressor
model5 = DecisionTreeRegressor(max_depth = 15, min_samples_leaf = 13, ccp_alpha = 0.0001)
model5.fit(X_train, logy_train)
y_pred_model5 = model5.predict(X_test)
y_pred_model5 = np.exp(y_pred_model5)
abs_err_model5 = np.abs(y_pred_model5 - y_test)
from sklearn.model_selection import RandomizedSearchCV
max_depth = [int(x) for x in np.linspace(1, 20, num = 15)]
min_samples_leaf = np.arange(15)
ccp_alpha = [0.001, 0.01, 0.1, 0.0001]
objective = ['reg:squarederror']
random_grid = {'max_depth': max_depth,
'min_samples_leaf': min_samples_leaf,
'ccp_alpha': ccp_alpha}
decision = RandomizedSearchCV(estimator = model5, param_distributions = random_grid, scoring = 'neg_mean_squared_error', n_iter = 10, cv = 8, random_state = 40, n_jobs = 1)
decision.fit(X_train, logy_train)
decision.best_params_
{'min_samples_leaf': 13, 'max_depth': 15, 'ccp_alpha': 0.0001}
sns.distplot(y_test - y_pred_model5)
<matplotlib.axes._subplots.AxesSubplot at 0x2353f310e08>
plt.scatter(y_test , y_pred_model5)
<matplotlib.collections.PathCollection at 0x23540f0a408>
print('MAE:', metrics.mean_absolute_error(y_test, y_pred_model5))
print('MSE:', metrics.mean_squared_error(y_test, y_pred_model5))
print('RMSE:', np.sqrt(metrics.mean_squared_error(y_test, y_pred_model5)))
MAE: 162.98927180254597 MSE: 60272.36069438864 RMSE: 245.50429872894006
from sklearn.metrics import r2_score
y_pred = y_pred_model5
y_test = y_test
model = 'model5 Decision Tree Regression'
plt.figure(figsize=(15, 15), dpi = 150);
plt.subplots_adjust(hspace = 0.25, wspace = 0.25);
plt.subplots(figsize=(16,6));
plt.scatter(x = y_test, y = y_pred, color = 'blue');
#Add 45 degree line
xp = np.linspace(y_test.min(), y_test.max(), 100)
plt.plot(xp, xp, 'k', alpha = 0.9, linewidth = 2, color = 'red')
plt.xlabel('Actual Value');
plt.ylabel('Predicted Value');
plt.title(f'{model}');
plt.subplots(figsize=(17,6));
x_points = list(range(len(y_test)));
plt.plot(x_points, y_test, label='y_real', color = 'blue');
plt.plot(x_points, y_pred, label='y_predict', color = 'red');
plt.legend();
plt.grid()
plt.title(f'{model}');
plt.show();
<Figure size 2250x2250 with 0 Axes>
model_comp = model_comp.append(pd.DataFrame({'Mean of AbsErrors': abs_err_model5.mean(),
'Median of AbsErrors' : abs_err_model5.median(),
'SD of AbsErrors' : abs_err_model5.std(),
'IQR of AbsErrors': iqr(abs_err_model5),
'Min of AbsErrors': abs_err_model5.min(),
'Max of AbsErrors': abs_err_model5.max()}, index = ['Model5: Decision Tree Regression']),
ignore_index = False)
model_comp
| Mean of AbsErrors | Median of AbsErrors | SD of AbsErrors | IQR of AbsErrors | Min of AbsErrors | Max of AbsErrors | |
|---|---|---|---|---|---|---|
| Model1: Linear-Ragression | 223.148958 | 158.574170 | 198.785517 | 216.725217 | 3.569232 | 1047.957143 |
| Model2: Ridge Regression | 226.441674 | 151.029550 | 293.532084 | 136.707544 | 7.679097 | 1897.768941 |
| Model3: Lasso Regression | 235.833326 | 142.116905 | 324.730397 | 156.625954 | 3.744212 | 2181.596147 |
| Model4: KNN Regression | 160.407478 | 81.167175 | 190.775927 | 226.393202 | 2.543116 | 837.841616 |
| Model5: Decision Tree Regression | 162.989272 | 78.558773 | 185.351198 | 223.772135 | 0.769051 | 827.083624 |
from sklearn.ensemble import BaggingRegressor
model6 = BaggingRegressor(n_estimators = 500, oob_score = True)
model6.fit(X_train, logy_train)
y_pred_model6 = model6.predict(X_test)
y_pred_model6 = np.exp(y_pred_model6)
abs_err_model6 = np.abs(y_pred_model6 - y_test)
sns.distplot(y_test - y_pred_model6)
<matplotlib.axes._subplots.AxesSubplot at 0x2353f4ff208>
plt.scatter(y_test , y_pred_model6)
<matplotlib.collections.PathCollection at 0x23540a2e088>
print('MAE:', metrics.mean_absolute_error(y_test, y_pred_model6))
print('MSE:', metrics.mean_squared_error(y_test, y_pred_model6))
print('RMSE:', np.sqrt(metrics.mean_squared_error(y_test, y_pred_model6)))
MAE: 110.54863249556075 MSE: 30671.64508166156 RMSE: 175.13322095382577
from sklearn.metrics import r2_score
y_pred = y_pred_model6
y_test = y_test
model = 'model6 Bagging Regression'
plt.figure(figsize=(15, 15), dpi = 150);
plt.subplots_adjust(hspace = 0.25, wspace = 0.25);
plt.subplots(figsize=(16,6));
plt.scatter(x = y_test, y = y_pred, color = 'blue');
#Add 45 degree line
xp = np.linspace(y_test.min(), y_test.max(), 100)
plt.plot(xp, xp, 'k', alpha = 0.9, linewidth = 2, color = 'red')
plt.xlabel('Actual Value');
plt.ylabel('Predicted Value');
plt.title(f'{model}');
plt.subplots(figsize=(17,6));
x_points = list(range(len(y_test)));
plt.plot(x_points, y_test, label='y_real', color = 'blue');
plt.plot(x_points, y_pred, label='y_predict', color = 'red');
plt.legend();
plt.grid()
plt.title(f'{model}');
plt.show();
<Figure size 2250x2250 with 0 Axes>
model_comp = model_comp.append(pd.DataFrame({'Mean of AbsErrors': abs_err_model6.mean(),
'Median of AbsErrors' : abs_err_model6.median(),
'SD of AbsErrors' : abs_err_model6.std(),
'IQR of AbsErrors': iqr(abs_err_model6),
'Min of AbsErrors': abs_err_model6.min(),
'Max of AbsErrors': abs_err_model6.max()}, index = ['Model6: Bagging Regression']),
ignore_index = False)
model_comp
| Mean of AbsErrors | Median of AbsErrors | SD of AbsErrors | IQR of AbsErrors | Min of AbsErrors | Max of AbsErrors | |
|---|---|---|---|---|---|---|
| Model1: Linear-Ragression | 223.148958 | 158.574170 | 198.785517 | 216.725217 | 3.569232 | 1047.957143 |
| Model2: Ridge Regression | 226.441674 | 151.029550 | 293.532084 | 136.707544 | 7.679097 | 1897.768941 |
| Model3: Lasso Regression | 235.833326 | 142.116905 | 324.730397 | 156.625954 | 3.744212 | 2181.596147 |
| Model4: KNN Regression | 160.407478 | 81.167175 | 190.775927 | 226.393202 | 2.543116 | 837.841616 |
| Model5: Decision Tree Regression | 162.989272 | 78.558773 | 185.351198 | 223.772135 | 0.769051 | 827.083624 |
| Model6: Bagging Regression | 110.548632 | 58.805452 | 137.133019 | 153.685308 | 1.442460 | 747.780147 |
from sklearn.ensemble import RandomForestRegressor
model7 = RandomForestRegressor(n_estimators = 246,
oob_score = True,
max_features = 'sqrt',
max_depth = 26,
min_samples_split = 20,
min_samples_leaf = 1)
model7.fit(X_train, logy_train)
y_pred_model7 = model7.predict(X_test)
y_pred_model7 = np.exp(y_pred_model7)
abs_err_model7 = np.abs(y_pred_model7 - y_test)
from sklearn.model_selection import RandomizedSearchCV
n_estimators = [int(x) for x in np.linspace(start = 100, stop = 2000, num = 40)]
max_features = ['auto', 'sqrt']
max_depth = [int(x) for x in np.linspace(5, 40, num = 6)]
min_samples_split = [2, 5, 10, 15, 20,25,30,35,40,100]
min_samples_leaf = [1, 2, 5, 10]
random_grid = {'n_estimators': n_estimators,
'max_features': max_features,
'max_depth': max_depth,
'min_samples_split': min_samples_split,
'min_samples_leaf': min_samples_leaf}
rf_random = RandomizedSearchCV(estimator = model7,
param_distributions = random_grid,
scoring='neg_mean_squared_error',
n_iter = 10,
cv = 5,
verbose=2,
random_state=42,
n_jobs = 1)
rf_random.fit(X_train, logy_train)
rf_random.best_params_
Fitting 5 folds for each of 10 candidates, totalling 50 fits [CV] n_estimators=1805, min_samples_split=20, min_samples_leaf=10, max_features=sqrt, max_depth=33
[Parallel(n_jobs=1)]: Using backend SequentialBackend with 1 concurrent workers.
[CV] n_estimators=1805, min_samples_split=20, min_samples_leaf=10, max_features=sqrt, max_depth=33, total= 3.0s [CV] n_estimators=1805, min_samples_split=20, min_samples_leaf=10, max_features=sqrt, max_depth=33
[Parallel(n_jobs=1)]: Done 1 out of 1 | elapsed: 2.9s remaining: 0.0s
[CV] n_estimators=1805, min_samples_split=20, min_samples_leaf=10, max_features=sqrt, max_depth=33, total= 3.0s [CV] n_estimators=1805, min_samples_split=20, min_samples_leaf=10, max_features=sqrt, max_depth=33 [CV] n_estimators=1805, min_samples_split=20, min_samples_leaf=10, max_features=sqrt, max_depth=33, total= 3.4s [CV] n_estimators=1805, min_samples_split=20, min_samples_leaf=10, max_features=sqrt, max_depth=33 [CV] n_estimators=1805, min_samples_split=20, min_samples_leaf=10, max_features=sqrt, max_depth=33, total= 3.1s [CV] n_estimators=1805, min_samples_split=20, min_samples_leaf=10, max_features=sqrt, max_depth=33 [CV] n_estimators=1805, min_samples_split=20, min_samples_leaf=10, max_features=sqrt, max_depth=33, total= 3.3s [CV] n_estimators=1074, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=5 [CV] n_estimators=1074, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=5, total= 2.4s [CV] n_estimators=1074, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=5 [CV] n_estimators=1074, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=5, total= 2.3s [CV] n_estimators=1074, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=5 [CV] n_estimators=1074, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=5, total= 2.3s [CV] n_estimators=1074, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=5 [CV] n_estimators=1074, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=5, total= 2.5s [CV] n_estimators=1074, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=5 [CV] n_estimators=1074, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=5, total= 2.3s [CV] n_estimators=1561, min_samples_split=20, min_samples_leaf=2, max_features=sqrt, max_depth=12 [CV] n_estimators=1561, min_samples_split=20, min_samples_leaf=2, max_features=sqrt, max_depth=12, total= 2.8s [CV] n_estimators=1561, min_samples_split=20, min_samples_leaf=2, max_features=sqrt, max_depth=12 [CV] n_estimators=1561, min_samples_split=20, min_samples_leaf=2, max_features=sqrt, max_depth=12, total= 3.2s [CV] n_estimators=1561, min_samples_split=20, min_samples_leaf=2, max_features=sqrt, max_depth=12 [CV] n_estimators=1561, min_samples_split=20, min_samples_leaf=2, max_features=sqrt, max_depth=12, total= 2.9s [CV] n_estimators=1561, min_samples_split=20, min_samples_leaf=2, max_features=sqrt, max_depth=12 [CV] n_estimators=1561, min_samples_split=20, min_samples_leaf=2, max_features=sqrt, max_depth=12, total= 2.7s [CV] n_estimators=1561, min_samples_split=20, min_samples_leaf=2, max_features=sqrt, max_depth=12 [CV] n_estimators=1561, min_samples_split=20, min_samples_leaf=2, max_features=sqrt, max_depth=12, total= 2.5s [CV] n_estimators=294, min_samples_split=100, min_samples_leaf=2, max_features=sqrt, max_depth=26 [CV] n_estimators=294, min_samples_split=100, min_samples_leaf=2, max_features=sqrt, max_depth=26, total= 0.4s [CV] n_estimators=294, min_samples_split=100, min_samples_leaf=2, max_features=sqrt, max_depth=26 [CV] n_estimators=294, min_samples_split=100, min_samples_leaf=2, max_features=sqrt, max_depth=26, total= 0.4s [CV] n_estimators=294, min_samples_split=100, min_samples_leaf=2, max_features=sqrt, max_depth=26 [CV] n_estimators=294, min_samples_split=100, min_samples_leaf=2, max_features=sqrt, max_depth=26, total= 0.4s [CV] n_estimators=294, min_samples_split=100, min_samples_leaf=2, max_features=sqrt, max_depth=26 [CV] n_estimators=294, min_samples_split=100, min_samples_leaf=2, max_features=sqrt, max_depth=26, total= 0.4s [CV] n_estimators=294, min_samples_split=100, min_samples_leaf=2, max_features=sqrt, max_depth=26 [CV] n_estimators=294, min_samples_split=100, min_samples_leaf=2, max_features=sqrt, max_depth=26, total= 0.4s [CV] n_estimators=294, min_samples_split=10, min_samples_leaf=1, max_features=sqrt, max_depth=26 [CV] n_estimators=294, min_samples_split=10, min_samples_leaf=1, max_features=sqrt, max_depth=26, total= 0.5s [CV] n_estimators=294, min_samples_split=10, min_samples_leaf=1, max_features=sqrt, max_depth=26 [CV] n_estimators=294, min_samples_split=10, min_samples_leaf=1, max_features=sqrt, max_depth=26, total= 0.5s [CV] n_estimators=294, min_samples_split=10, min_samples_leaf=1, max_features=sqrt, max_depth=26 [CV] n_estimators=294, min_samples_split=10, min_samples_leaf=1, max_features=sqrt, max_depth=26, total= 0.5s [CV] n_estimators=294, min_samples_split=10, min_samples_leaf=1, max_features=sqrt, max_depth=26 [CV] n_estimators=294, min_samples_split=10, min_samples_leaf=1, max_features=sqrt, max_depth=26, total= 0.5s [CV] n_estimators=294, min_samples_split=10, min_samples_leaf=1, max_features=sqrt, max_depth=26 [CV] n_estimators=294, min_samples_split=10, min_samples_leaf=1, max_features=sqrt, max_depth=26, total= 0.5s [CV] n_estimators=1317, min_samples_split=30, min_samples_leaf=10, max_features=sqrt, max_depth=12 [CV] n_estimators=1317, min_samples_split=30, min_samples_leaf=10, max_features=sqrt, max_depth=12, total= 2.0s [CV] n_estimators=1317, min_samples_split=30, min_samples_leaf=10, max_features=sqrt, max_depth=12 [CV] n_estimators=1317, min_samples_split=30, min_samples_leaf=10, max_features=sqrt, max_depth=12, total= 2.0s [CV] n_estimators=1317, min_samples_split=30, min_samples_leaf=10, max_features=sqrt, max_depth=12 [CV] n_estimators=1317, min_samples_split=30, min_samples_leaf=10, max_features=sqrt, max_depth=12, total= 2.1s [CV] n_estimators=1317, min_samples_split=30, min_samples_leaf=10, max_features=sqrt, max_depth=12 [CV] n_estimators=1317, min_samples_split=30, min_samples_leaf=10, max_features=sqrt, max_depth=12, total= 2.0s [CV] n_estimators=1317, min_samples_split=30, min_samples_leaf=10, max_features=sqrt, max_depth=12 [CV] n_estimators=1317, min_samples_split=30, min_samples_leaf=10, max_features=sqrt, max_depth=12, total= 2.0s [CV] n_estimators=587, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=40 [CV] n_estimators=587, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=40, total= 1.2s [CV] n_estimators=587, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=40 [CV] n_estimators=587, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=40, total= 1.4s [CV] n_estimators=587, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=40 [CV] n_estimators=587, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=40, total= 1.4s [CV] n_estimators=587, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=40 [CV] n_estimators=587, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=40, total= 1.4s [CV] n_estimators=587, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=40 [CV] n_estimators=587, min_samples_split=5, min_samples_leaf=5, max_features=auto, max_depth=40, total= 1.4s [CV] n_estimators=1366, min_samples_split=2, min_samples_leaf=10, max_features=auto, max_depth=12 [CV] n_estimators=1366, min_samples_split=2, min_samples_leaf=10, max_features=auto, max_depth=12, total= 3.2s [CV] n_estimators=1366, min_samples_split=2, min_samples_leaf=10, max_features=auto, max_depth=12 [CV] n_estimators=1366, min_samples_split=2, min_samples_leaf=10, max_features=auto, max_depth=12, total= 2.8s [CV] n_estimators=1366, min_samples_split=2, min_samples_leaf=10, max_features=auto, max_depth=12 [CV] n_estimators=1366, min_samples_split=2, min_samples_leaf=10, max_features=auto, max_depth=12, total= 2.5s [CV] n_estimators=1366, min_samples_split=2, min_samples_leaf=10, max_features=auto, max_depth=12 [CV] n_estimators=1366, min_samples_split=2, min_samples_leaf=10, max_features=auto, max_depth=12, total= 2.5s [CV] n_estimators=1366, min_samples_split=2, min_samples_leaf=10, max_features=auto, max_depth=12 [CV] n_estimators=1366, min_samples_split=2, min_samples_leaf=10, max_features=auto, max_depth=12, total= 2.5s [CV] n_estimators=1220, min_samples_split=2, min_samples_leaf=1, max_features=sqrt, max_depth=33 [CV] n_estimators=1220, min_samples_split=2, min_samples_leaf=1, max_features=sqrt, max_depth=33, total= 2.3s [CV] n_estimators=1220, min_samples_split=2, min_samples_leaf=1, max_features=sqrt, max_depth=33 [CV] n_estimators=1220, min_samples_split=2, min_samples_leaf=1, max_features=sqrt, max_depth=33, total= 2.2s [CV] n_estimators=1220, min_samples_split=2, min_samples_leaf=1, max_features=sqrt, max_depth=33 [CV] n_estimators=1220, min_samples_split=2, min_samples_leaf=1, max_features=sqrt, max_depth=33, total= 2.2s [CV] n_estimators=1220, min_samples_split=2, min_samples_leaf=1, max_features=sqrt, max_depth=33 [CV] n_estimators=1220, min_samples_split=2, min_samples_leaf=1, max_features=sqrt, max_depth=33, total= 2.2s [CV] n_estimators=1220, min_samples_split=2, min_samples_leaf=1, max_features=sqrt, max_depth=33 [CV] n_estimators=1220, min_samples_split=2, min_samples_leaf=1, max_features=sqrt, max_depth=33, total= 2.1s [CV] n_estimators=246, min_samples_split=20, min_samples_leaf=1, max_features=sqrt, max_depth=26 [CV] n_estimators=246, min_samples_split=20, min_samples_leaf=1, max_features=sqrt, max_depth=26, total= 0.4s [CV] n_estimators=246, min_samples_split=20, min_samples_leaf=1, max_features=sqrt, max_depth=26 [CV] n_estimators=246, min_samples_split=20, min_samples_leaf=1, max_features=sqrt, max_depth=26, total= 0.4s [CV] n_estimators=246, min_samples_split=20, min_samples_leaf=1, max_features=sqrt, max_depth=26 [CV] n_estimators=246, min_samples_split=20, min_samples_leaf=1, max_features=sqrt, max_depth=26, total= 0.5s [CV] n_estimators=246, min_samples_split=20, min_samples_leaf=1, max_features=sqrt, max_depth=26 [CV] n_estimators=246, min_samples_split=20, min_samples_leaf=1, max_features=sqrt, max_depth=26, total= 0.5s [CV] n_estimators=246, min_samples_split=20, min_samples_leaf=1, max_features=sqrt, max_depth=26 [CV] n_estimators=246, min_samples_split=20, min_samples_leaf=1, max_features=sqrt, max_depth=26, total= 0.4s
[Parallel(n_jobs=1)]: Done 50 out of 50 | elapsed: 1.5min finished
{'n_estimators': 246,
'min_samples_split': 20,
'min_samples_leaf': 1,
'max_features': 'sqrt',
'max_depth': 26}
sns.distplot(y_test - y_pred_model7)
<matplotlib.axes._subplots.AxesSubplot at 0x2353f271a88>
plt.scatter(y_test , y_pred_model7)
<matplotlib.collections.PathCollection at 0x23540ce8ec8>
print('MAE:', metrics.mean_absolute_error(y_test, y_pred_model7))
print('MSE:', metrics.mean_squared_error(y_test, y_pred_model7))
print('RMSE:', np.sqrt(metrics.mean_squared_error(y_test, y_pred_model7)))
MAE: 115.34020989850781 MSE: 31939.059849376987 RMSE: 178.71502412885434
from sklearn.metrics import r2_score
y_pred = y_pred_model7
y_test = y_test
model = 'model7 Random Forest Regression'
plt.figure(figsize=(15, 15), dpi = 150);
plt.subplots_adjust(hspace = 0.25, wspace = 0.25);
plt.subplots(figsize=(16,6));
plt.scatter(x = y_test, y = y_pred, color = 'blue');
#Add 45 degree line
xp = np.linspace(y_test.min(), y_test.max(), 100)
plt.plot(xp, xp, 'k', alpha = 0.9, linewidth = 2, color = 'red')
plt.xlabel('Actual Value');
plt.ylabel('Predicted Value');
plt.title(f'{model}');
plt.subplots(figsize=(17,6));
x_points = list(range(len(y_test)));
plt.plot(x_points, y_test, label='y_real', color = 'blue');
plt.plot(x_points, y_pred, label='y_predict', color = 'red');
plt.legend();
plt.grid()
plt.title(f'{model}');
plt.show();
<Figure size 2250x2250 with 0 Axes>
model_comp = model_comp.append(pd.DataFrame({'Mean of AbsErrors': abs_err_model7.mean(),
'Median of AbsErrors' : abs_err_model7.median(),
'SD of AbsErrors' : abs_err_model7.std(),
'IQR of AbsErrors': iqr(abs_err_model7),
'Min of AbsErrors': abs_err_model7.min(),
'Max of AbsErrors': abs_err_model7.max()}, index = ['Model7: Random Forest Regression']),
ignore_index = False)
model_comp
| Mean of AbsErrors | Median of AbsErrors | SD of AbsErrors | IQR of AbsErrors | Min of AbsErrors | Max of AbsErrors | |
|---|---|---|---|---|---|---|
| Model1: Linear-Ragression | 223.148958 | 158.574170 | 198.785517 | 216.725217 | 3.569232 | 1047.957143 |
| Model2: Ridge Regression | 226.441674 | 151.029550 | 293.532084 | 136.707544 | 7.679097 | 1897.768941 |
| Model3: Lasso Regression | 235.833326 | 142.116905 | 324.730397 | 156.625954 | 3.744212 | 2181.596147 |
| Model4: KNN Regression | 160.407478 | 81.167175 | 190.775927 | 226.393202 | 2.543116 | 837.841616 |
| Model5: Decision Tree Regression | 162.989272 | 78.558773 | 185.351198 | 223.772135 | 0.769051 | 827.083624 |
| Model6: Bagging Regression | 110.548632 | 58.805452 | 137.133019 | 153.685308 | 1.442460 | 747.780147 |
| Model7: Random Forest Regression | 115.340210 | 58.109284 | 137.818992 | 160.515046 | 3.225445 | 745.132697 |
{'subsample': 1,
'n_estimators': 1000,
'min_samples_leaf': 3,
'max_depth': 6,
'learning_rate': 0.2}
from sklearn.ensemble import GradientBoostingRegressor
model8 = GradientBoostingRegressor(learning_rate = 0.2,
max_depth = 6,
min_samples_leaf = 3,
n_estimators = 1000,
subsample = 1)
model8.fit(X_train, logy_train)
y_pred_model8 = model8.predict(X_test)
y_pred_model8 = np.exp(y_pred_model8)
abs_err_model8 = np.abs(y_pred_model8 - y_test)
from sklearn.model_selection import RandomizedSearchCV
learning_rate = [0.01,0.1, 0.2, 0.3, 0.4, 0.5]
n_estimators = [500, 600, 700, 800, 900, 1000, 1100, 1200]
subsample = [1, 2, 3, 4]
max_depth = [2, 3, 4, 5, 6, 7]
min_samples_leaf = [3, 4, 5, 6, 7, 8]
random_grid = {'n_estimators': n_estimators,
'max_depth': max_depth,
'min_samples_leaf': min_samples_leaf,
'learning_rate':learning_rate,
'subsample': subsample}
rf_random = RandomizedSearchCV(estimator = model8,
param_distributions = random_grid,
scoring='neg_mean_squared_error',
n_iter = 10,
cv = 5,
verbose=2,
random_state=42,
n_jobs = 1)
rf_random.fit(X_train, logy_train)
rf_random.best_params_
Fitting 5 folds for each of 10 candidates, totalling 50 fits [CV] subsample=1, n_estimators=1200, min_samples_leaf=5, max_depth=6, learning_rate=0.01
[Parallel(n_jobs=1)]: Using backend SequentialBackend with 1 concurrent workers.
[CV] subsample=1, n_estimators=1200, min_samples_leaf=5, max_depth=6, learning_rate=0.01, total= 1.7s [CV] subsample=1, n_estimators=1200, min_samples_leaf=5, max_depth=6, learning_rate=0.01
[Parallel(n_jobs=1)]: Done 1 out of 1 | elapsed: 1.6s remaining: 0.0s
[CV] subsample=1, n_estimators=1200, min_samples_leaf=5, max_depth=6, learning_rate=0.01, total= 1.6s [CV] subsample=1, n_estimators=1200, min_samples_leaf=5, max_depth=6, learning_rate=0.01 [CV] subsample=1, n_estimators=1200, min_samples_leaf=5, max_depth=6, learning_rate=0.01, total= 1.5s [CV] subsample=1, n_estimators=1200, min_samples_leaf=5, max_depth=6, learning_rate=0.01 [CV] subsample=1, n_estimators=1200, min_samples_leaf=5, max_depth=6, learning_rate=0.01, total= 1.4s [CV] subsample=1, n_estimators=1200, min_samples_leaf=5, max_depth=6, learning_rate=0.01 [CV] subsample=1, n_estimators=1200, min_samples_leaf=5, max_depth=6, learning_rate=0.01, total= 1.4s [CV] subsample=3, n_estimators=800, min_samples_leaf=3, max_depth=6, learning_rate=0.4 [CV] subsample=3, n_estimators=800, min_samples_leaf=3, max_depth=6, learning_rate=0.4, total= 0.0s [CV] subsample=3, n_estimators=800, min_samples_leaf=3, max_depth=6, learning_rate=0.4 [CV] subsample=3, n_estimators=800, min_samples_leaf=3, max_depth=6, learning_rate=0.4, total= 0.0s [CV] subsample=3, n_estimators=800, min_samples_leaf=3, max_depth=6, learning_rate=0.4 [CV] subsample=3, n_estimators=800, min_samples_leaf=3, max_depth=6, learning_rate=0.4, total= 0.0s [CV] subsample=3, n_estimators=800, min_samples_leaf=3, max_depth=6, learning_rate=0.4 [CV] subsample=3, n_estimators=800, min_samples_leaf=3, max_depth=6, learning_rate=0.4, total= 0.0s [CV] subsample=3, n_estimators=800, min_samples_leaf=3, max_depth=6, learning_rate=0.4 [CV] subsample=3, n_estimators=800, min_samples_leaf=3, max_depth=6, learning_rate=0.4, total= 0.0s [CV] subsample=3, n_estimators=700, min_samples_leaf=4, max_depth=5, learning_rate=0.4 [CV] subsample=3, n_estimators=700, min_samples_leaf=4, max_depth=5, learning_rate=0.4, total= 0.0s [CV] subsample=3, n_estimators=700, min_samples_leaf=4, max_depth=5, learning_rate=0.4 [CV] subsample=3, n_estimators=700, min_samples_leaf=4, max_depth=5, learning_rate=0.4, total= 0.0s [CV] subsample=3, n_estimators=700, min_samples_leaf=4, max_depth=5, learning_rate=0.4 [CV] subsample=3, n_estimators=700, min_samples_leaf=4, max_depth=5, learning_rate=0.4, total= 0.0s [CV] subsample=3, n_estimators=700, min_samples_leaf=4, max_depth=5, learning_rate=0.4 [CV] subsample=3, n_estimators=700, min_samples_leaf=4, max_depth=5, learning_rate=0.4, total= 0.0s [CV] subsample=3, n_estimators=700, min_samples_leaf=4, max_depth=5, learning_rate=0.4 [CV] subsample=3, n_estimators=700, min_samples_leaf=4, max_depth=5, learning_rate=0.4, total= 0.0s [CV] subsample=4, n_estimators=600, min_samples_leaf=3, max_depth=5, learning_rate=0.4 [CV] subsample=4, n_estimators=600, min_samples_leaf=3, max_depth=5, learning_rate=0.4, total= 0.0s [CV] subsample=4, n_estimators=600, min_samples_leaf=3, max_depth=5, learning_rate=0.4 [CV] subsample=4, n_estimators=600, min_samples_leaf=3, max_depth=5, learning_rate=0.4, total= 0.0s [CV] subsample=4, n_estimators=600, min_samples_leaf=3, max_depth=5, learning_rate=0.4 [CV] subsample=4, n_estimators=600, min_samples_leaf=3, max_depth=5, learning_rate=0.4, total= 0.0s [CV] subsample=4, n_estimators=600, min_samples_leaf=3, max_depth=5, learning_rate=0.4 [CV] subsample=4, n_estimators=600, min_samples_leaf=3, max_depth=5, learning_rate=0.4, total= 0.0s [CV] subsample=4, n_estimators=600, min_samples_leaf=3, max_depth=5, learning_rate=0.4 [CV] subsample=4, n_estimators=600, min_samples_leaf=3, max_depth=5, learning_rate=0.4, total= 0.0s [CV] subsample=1, n_estimators=1200, min_samples_leaf=6, max_depth=3, learning_rate=0.3
C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 4 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 4 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 4 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 4 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 4 FitFailedWarning)
[CV] subsample=1, n_estimators=1200, min_samples_leaf=6, max_depth=3, learning_rate=0.3, total= 0.5s [CV] subsample=1, n_estimators=1200, min_samples_leaf=6, max_depth=3, learning_rate=0.3 [CV] subsample=1, n_estimators=1200, min_samples_leaf=6, max_depth=3, learning_rate=0.3, total= 0.4s [CV] subsample=1, n_estimators=1200, min_samples_leaf=6, max_depth=3, learning_rate=0.3 [CV] subsample=1, n_estimators=1200, min_samples_leaf=6, max_depth=3, learning_rate=0.3, total= 0.4s [CV] subsample=1, n_estimators=1200, min_samples_leaf=6, max_depth=3, learning_rate=0.3 [CV] subsample=1, n_estimators=1200, min_samples_leaf=6, max_depth=3, learning_rate=0.3, total= 0.4s [CV] subsample=1, n_estimators=1200, min_samples_leaf=6, max_depth=3, learning_rate=0.3 [CV] subsample=1, n_estimators=1200, min_samples_leaf=6, max_depth=3, learning_rate=0.3, total= 0.4s [CV] subsample=1, n_estimators=1000, min_samples_leaf=3, max_depth=6, learning_rate=0.2 [CV] subsample=1, n_estimators=1000, min_samples_leaf=3, max_depth=6, learning_rate=0.2, total= 0.4s [CV] subsample=1, n_estimators=1000, min_samples_leaf=3, max_depth=6, learning_rate=0.2 [CV] subsample=1, n_estimators=1000, min_samples_leaf=3, max_depth=6, learning_rate=0.2, total= 0.4s [CV] subsample=1, n_estimators=1000, min_samples_leaf=3, max_depth=6, learning_rate=0.2 [CV] subsample=1, n_estimators=1000, min_samples_leaf=3, max_depth=6, learning_rate=0.2, total= 0.4s [CV] subsample=1, n_estimators=1000, min_samples_leaf=3, max_depth=6, learning_rate=0.2 [CV] subsample=1, n_estimators=1000, min_samples_leaf=3, max_depth=6, learning_rate=0.2, total= 0.3s [CV] subsample=1, n_estimators=1000, min_samples_leaf=3, max_depth=6, learning_rate=0.2 [CV] subsample=1, n_estimators=1000, min_samples_leaf=3, max_depth=6, learning_rate=0.2, total= 0.4s [CV] subsample=3, n_estimators=600, min_samples_leaf=8, max_depth=7, learning_rate=0.4 [CV] subsample=3, n_estimators=600, min_samples_leaf=8, max_depth=7, learning_rate=0.4, total= 0.0s [CV] subsample=3, n_estimators=600, min_samples_leaf=8, max_depth=7, learning_rate=0.4 [CV] subsample=3, n_estimators=600, min_samples_leaf=8, max_depth=7, learning_rate=0.4, total= 0.0s [CV] subsample=3, n_estimators=600, min_samples_leaf=8, max_depth=7, learning_rate=0.4 [CV] subsample=3, n_estimators=600, min_samples_leaf=8, max_depth=7, learning_rate=0.4, total= 0.0s [CV] subsample=3, n_estimators=600, min_samples_leaf=8, max_depth=7, learning_rate=0.4 [CV] subsample=3, n_estimators=600, min_samples_leaf=8, max_depth=7, learning_rate=0.4, total= 0.0s [CV] subsample=3, n_estimators=600, min_samples_leaf=8, max_depth=7, learning_rate=0.4 [CV] subsample=3, n_estimators=600, min_samples_leaf=8, max_depth=7, learning_rate=0.4, total= 0.0s [CV] subsample=2, n_estimators=1100, min_samples_leaf=6, max_depth=4, learning_rate=0.5 [CV] subsample=2, n_estimators=1100, min_samples_leaf=6, max_depth=4, learning_rate=0.5, total= 0.0s [CV] subsample=2, n_estimators=1100, min_samples_leaf=6, max_depth=4, learning_rate=0.5 [CV] subsample=2, n_estimators=1100, min_samples_leaf=6, max_depth=4, learning_rate=0.5, total= 0.0s [CV] subsample=2, n_estimators=1100, min_samples_leaf=6, max_depth=4, learning_rate=0.5 [CV] subsample=2, n_estimators=1100, min_samples_leaf=6, max_depth=4, learning_rate=0.5, total= 0.0s [CV] subsample=2, n_estimators=1100, min_samples_leaf=6, max_depth=4, learning_rate=0.5 [CV] subsample=2, n_estimators=1100, min_samples_leaf=6, max_depth=4, learning_rate=0.5, total= 0.0s [CV] subsample=2, n_estimators=1100, min_samples_leaf=6, max_depth=4, learning_rate=0.5 [CV] subsample=2, n_estimators=1100, min_samples_leaf=6, max_depth=4, learning_rate=0.5, total= 0.0s [CV] subsample=3, n_estimators=900, min_samples_leaf=5, max_depth=4, learning_rate=0.01 [CV] subsample=3, n_estimators=900, min_samples_leaf=5, max_depth=4, learning_rate=0.01, total= 0.0s [CV] subsample=3, n_estimators=900, min_samples_leaf=5, max_depth=4, learning_rate=0.01 [CV] subsample=3, n_estimators=900, min_samples_leaf=5, max_depth=4, learning_rate=0.01, total= 0.0s [CV] subsample=3, n_estimators=900, min_samples_leaf=5, max_depth=4, learning_rate=0.01 [CV] subsample=3, n_estimators=900, min_samples_leaf=5, max_depth=4, learning_rate=0.01, total= 0.0s [CV] subsample=3, n_estimators=900, min_samples_leaf=5, max_depth=4, learning_rate=0.01 [CV] subsample=3, n_estimators=900, min_samples_leaf=5, max_depth=4, learning_rate=0.01, total= 0.0s [CV] subsample=3, n_estimators=900, min_samples_leaf=5, max_depth=4, learning_rate=0.01 [CV] subsample=3, n_estimators=900, min_samples_leaf=5, max_depth=4, learning_rate=0.01, total= 0.0s [CV] subsample=3, n_estimators=1000, min_samples_leaf=7, max_depth=5, learning_rate=0.4 [CV] subsample=3, n_estimators=1000, min_samples_leaf=7, max_depth=5, learning_rate=0.4, total= 0.0s [CV] subsample=3, n_estimators=1000, min_samples_leaf=7, max_depth=5, learning_rate=0.4 [CV] subsample=3, n_estimators=1000, min_samples_leaf=7, max_depth=5, learning_rate=0.4, total= 0.0s [CV] subsample=3, n_estimators=1000, min_samples_leaf=7, max_depth=5, learning_rate=0.4 [CV] subsample=3, n_estimators=1000, min_samples_leaf=7, max_depth=5, learning_rate=0.4, total= 0.0s [CV] subsample=3, n_estimators=1000, min_samples_leaf=7, max_depth=5, learning_rate=0.4 [CV] subsample=3, n_estimators=1000, min_samples_leaf=7, max_depth=5, learning_rate=0.4, total= 0.0s [CV] subsample=3, n_estimators=1000, min_samples_leaf=7, max_depth=5, learning_rate=0.4 [CV] subsample=3, n_estimators=1000, min_samples_leaf=7, max_depth=5, learning_rate=0.4, total= 0.0s
C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 2 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 2 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 2 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 2 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 2 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) C:\ProgramData\Anaconda3\lib\site-packages\sklearn\model_selection\_validation.py:536: FitFailedWarning: Estimator fit failed. The score on this train-test partition for these parameters will be set to nan. Details: ValueError: subsample must be in (0,1] but was 3 FitFailedWarning) [Parallel(n_jobs=1)]: Done 50 out of 50 | elapsed: 11.8s finished
{'subsample': 1,
'n_estimators': 1000,
'min_samples_leaf': 3,
'max_depth': 6,
'learning_rate': 0.2}
sns.distplot(y_test - y_pred_model8)
<matplotlib.axes._subplots.AxesSubplot at 0x23541171f88>
plt.scatter(y_test , y_pred_model8)
<matplotlib.collections.PathCollection at 0x2353f5442c8>
print('MAE:', metrics.mean_absolute_error(y_test, y_pred_model8))
print('MSE:', metrics.mean_squared_error(y_test, y_pred_model8))
print('RMSE:', np.sqrt(metrics.mean_squared_error(y_test, y_pred_model8)))
MAE: 126.72254202286322 MSE: 34419.81162336832 RMSE: 185.52577077960981
from sklearn.metrics import r2_score
y_pred = y_pred_model8
y_test = y_test
model = 'model8 Gradient Boost Regression'
plt.figure(figsize=(15, 15), dpi = 150);
plt.subplots_adjust(hspace = 0.25, wspace = 0.25);
plt.subplots(figsize=(16,6));
plt.scatter(x = y_test, y = y_pred, color = 'blue');
#Add 45 degree line
xp = np.linspace(y_test.min(), y_test.max(), 100)
plt.plot(xp, xp, 'k', alpha = 0.9, linewidth = 2, color = 'red')
plt.xlabel('Actual Value');
plt.ylabel('Predicted Value');
plt.title(f'{model}');
plt.subplots(figsize=(17,6));
x_points = list(range(len(y_test)));
plt.plot(x_points, y_test, label='y_real', color = 'blue');
plt.plot(x_points, y_pred, label='y_predict', color = 'red');
plt.legend();
plt.grid()
plt.title(f'{model}');
plt.show();
<Figure size 2250x2250 with 0 Axes>
model_comp = model_comp.append(pd.DataFrame({'Mean of AbsErrors': abs_err_model8.mean(),
'Median of AbsErrors' : abs_err_model8.median(),
'SD of AbsErrors' : abs_err_model8.std(),
'IQR of AbsErrors': iqr(abs_err_model8),
'Min of AbsErrors': abs_err_model8.min(),
'Max of AbsErrors': abs_err_model8.max()}, index = ['Model8: Gradient Boost Regression']),
ignore_index = False)
model_comp
| Mean of AbsErrors | Median of AbsErrors | SD of AbsErrors | IQR of AbsErrors | Min of AbsErrors | Max of AbsErrors | |
|---|---|---|---|---|---|---|
| Model1: Linear-Ragression | 223.148958 | 158.574170 | 198.785517 | 216.725217 | 3.569232 | 1047.957143 |
| Model2: Ridge Regression | 226.441674 | 151.029550 | 293.532084 | 136.707544 | 7.679097 | 1897.768941 |
| Model3: Lasso Regression | 235.833326 | 142.116905 | 324.730397 | 156.625954 | 3.744212 | 2181.596147 |
| Model4: KNN Regression | 160.407478 | 81.167175 | 190.775927 | 226.393202 | 2.543116 | 837.841616 |
| Model5: Decision Tree Regression | 162.989272 | 78.558773 | 185.351198 | 223.772135 | 0.769051 | 827.083624 |
| Model6: Bagging Regression | 110.548632 | 58.805452 | 137.133019 | 153.685308 | 1.442460 | 747.780147 |
| Model7: Random Forest Regression | 115.340210 | 58.109284 | 137.818992 | 160.515046 | 3.225445 | 745.132697 |
| Model8: Gradient Boost Regression | 126.722542 | 69.261401 | 136.800253 | 106.438768 | 3.763734 | 532.900731 |
from xgboost import XGBRegressor
from scipy.stats import uniform, randint
{'gamma': 0.19993048585762774,
'learning_rate': 0.04399969896408463,
'max_depth': 5,
'n_estimators': 115,
'subsample': 0.6931085361721216}
model9 = XGBRegressor(gamma = 0.19993048585762774,
learning_rate = 0.04399969896408463,
max_depth = 5,
n_estimators = 115,
subsample = 0.6931085361721216,
colsample_bytree = 0.39,
reg_alpha = 0.07,
reg_lambda = 0.055)
model9.fit(X_train, logy_train)
y_pred_model9 = model9.predict(X_test)
y_pred_model9 = np.exp(y_pred_model9)
abs_err_model9 = np.abs(y_pred_model9 - y_test)
params = {
"gamma": uniform(0, 0.5),
"learning_rate": uniform(0.03, 0.3), # default 0.1
"max_depth": randint(2, 6), # default 3
"n_estimators": randint(100, 150), # default 100
"subsample": uniform(0.6, 0.4)
}
xgb = RandomizedSearchCV(estimator = model9,
param_distributions = params,
scoring='neg_mean_squared_error',
n_iter = 10,
cv = 5,
verbose=2,
random_state=42,
n_jobs = 1)
xgb.fit(X_train, logy_train)
xgb.best_params_
Fitting 5 folds for each of 10 candidates, totalling 50 fits [CV] gamma=0.18727005942368125, learning_rate=0.3152142919229748, max_depth=4, n_estimators=107, subsample=0.8394633936788146 [CV] gamma=0.18727005942368125, learning_rate=0.3152142919229748, max_depth=4, n_estimators=107, subsample=0.8394633936788146, total= 0.1s [CV] gamma=0.18727005942368125, learning_rate=0.3152142919229748, max_depth=4, n_estimators=107, subsample=0.8394633936788146 [CV] gamma=0.18727005942368125, learning_rate=0.3152142919229748, max_depth=4, n_estimators=107, subsample=0.8394633936788146, total= 0.1s
[Parallel(n_jobs=1)]: Using backend SequentialBackend with 1 concurrent workers. [Parallel(n_jobs=1)]: Done 1 out of 1 | elapsed: 0.0s remaining: 0.0s
[CV] gamma=0.18727005942368125, learning_rate=0.3152142919229748, max_depth=4, n_estimators=107, subsample=0.8394633936788146 [CV] gamma=0.18727005942368125, learning_rate=0.3152142919229748, max_depth=4, n_estimators=107, subsample=0.8394633936788146, total= 0.1s [CV] gamma=0.18727005942368125, learning_rate=0.3152142919229748, max_depth=4, n_estimators=107, subsample=0.8394633936788146 [CV] gamma=0.18727005942368125, learning_rate=0.3152142919229748, max_depth=4, n_estimators=107, subsample=0.8394633936788146, total= 0.1s [CV] gamma=0.18727005942368125, learning_rate=0.3152142919229748, max_depth=4, n_estimators=107, subsample=0.8394633936788146 [CV] gamma=0.18727005942368125, learning_rate=0.3152142919229748, max_depth=4, n_estimators=107, subsample=0.8394633936788146, total= 0.1s [CV] gamma=0.07800932022121826, learning_rate=0.07679835610086079, max_depth=4, n_estimators=110, subsample=0.9464704583099741 [CV] gamma=0.07800932022121826, learning_rate=0.07679835610086079, max_depth=4, n_estimators=110, subsample=0.9464704583099741, total= 0.1s [CV] gamma=0.07800932022121826, learning_rate=0.07679835610086079, max_depth=4, n_estimators=110, subsample=0.9464704583099741 [CV] gamma=0.07800932022121826, learning_rate=0.07679835610086079, max_depth=4, n_estimators=110, subsample=0.9464704583099741, total= 0.1s [CV] gamma=0.07800932022121826, learning_rate=0.07679835610086079, max_depth=4, n_estimators=110, subsample=0.9464704583099741 [CV] gamma=0.07800932022121826, learning_rate=0.07679835610086079, max_depth=4, n_estimators=110, subsample=0.9464704583099741, total= 0.1s [CV] gamma=0.07800932022121826, learning_rate=0.07679835610086079, max_depth=4, n_estimators=110, subsample=0.9464704583099741 [CV] gamma=0.07800932022121826, learning_rate=0.07679835610086079, max_depth=4, n_estimators=110, subsample=0.9464704583099741, total= 0.1s [CV] gamma=0.07800932022121826, learning_rate=0.07679835610086079, max_depth=4, n_estimators=110, subsample=0.9464704583099741 [CV] gamma=0.07800932022121826, learning_rate=0.07679835610086079, max_depth=4, n_estimators=110, subsample=0.9464704583099741, total= 0.1s [CV] gamma=0.3005575058716044, learning_rate=0.24242177333881365, max_depth=3, n_estimators=101, subsample=0.8887995089067299 [CV] gamma=0.3005575058716044, learning_rate=0.24242177333881365, max_depth=3, n_estimators=101, subsample=0.8887995089067299, total= 0.1s [CV] gamma=0.3005575058716044, learning_rate=0.24242177333881365, max_depth=3, n_estimators=101, subsample=0.8887995089067299 [CV] gamma=0.3005575058716044, learning_rate=0.24242177333881365, max_depth=3, n_estimators=101, subsample=0.8887995089067299, total= 0.1s [CV] gamma=0.3005575058716044, learning_rate=0.24242177333881365, max_depth=3, n_estimators=101, subsample=0.8887995089067299 [CV] gamma=0.3005575058716044, learning_rate=0.24242177333881365, max_depth=3, n_estimators=101, subsample=0.8887995089067299, total= 0.1s [CV] gamma=0.3005575058716044, learning_rate=0.24242177333881365, max_depth=3, n_estimators=101, subsample=0.8887995089067299 [CV] gamma=0.3005575058716044, learning_rate=0.24242177333881365, max_depth=3, n_estimators=101, subsample=0.8887995089067299, total= 0.1s [CV] gamma=0.3005575058716044, learning_rate=0.24242177333881365, max_depth=3, n_estimators=101, subsample=0.8887995089067299 [CV] gamma=0.3005575058716044, learning_rate=0.24242177333881365, max_depth=3, n_estimators=101, subsample=0.8887995089067299, total= 0.1s [CV] gamma=0.4692763545078751, learning_rate=0.030233629752304297, max_depth=5, n_estimators=120, subsample=0.8469926038510867 [CV] gamma=0.4692763545078751, learning_rate=0.030233629752304297, max_depth=5, n_estimators=120, subsample=0.8469926038510867, total= 0.1s [CV] gamma=0.4692763545078751, learning_rate=0.030233629752304297, max_depth=5, n_estimators=120, subsample=0.8469926038510867 [CV] gamma=0.4692763545078751, learning_rate=0.030233629752304297, max_depth=5, n_estimators=120, subsample=0.8469926038510867, total= 0.1s [CV] gamma=0.4692763545078751, learning_rate=0.030233629752304297, max_depth=5, n_estimators=120, subsample=0.8469926038510867 [CV] gamma=0.4692763545078751, learning_rate=0.030233629752304297, max_depth=5, n_estimators=120, subsample=0.8469926038510867, total= 0.1s [CV] gamma=0.4692763545078751, learning_rate=0.030233629752304297, max_depth=5, n_estimators=120, subsample=0.8469926038510867 [CV] gamma=0.4692763545078751, learning_rate=0.030233629752304297, max_depth=5, n_estimators=120, subsample=0.8469926038510867, total= 0.1s [CV] gamma=0.4692763545078751, learning_rate=0.030233629752304297, max_depth=5, n_estimators=120, subsample=0.8469926038510867 [CV] gamma=0.4692763545078751, learning_rate=0.030233629752304297, max_depth=5, n_estimators=120, subsample=0.8469926038510867, total= 0.1s [CV] gamma=0.30582658024414044, learning_rate=0.03211989156591522, max_depth=2, n_estimators=148, subsample=0.8099098641033556 [CV] gamma=0.30582658024414044, learning_rate=0.03211989156591522, max_depth=2, n_estimators=148, subsample=0.8099098641033556, total= 0.1s [CV] gamma=0.30582658024414044, learning_rate=0.03211989156591522, max_depth=2, n_estimators=148, subsample=0.8099098641033556 [CV] gamma=0.30582658024414044, learning_rate=0.03211989156591522, max_depth=2, n_estimators=148, subsample=0.8099098641033556, total= 0.1s [CV] gamma=0.30582658024414044, learning_rate=0.03211989156591522, max_depth=2, n_estimators=148, subsample=0.8099098641033556 [CV] gamma=0.30582658024414044, learning_rate=0.03211989156591522, max_depth=2, n_estimators=148, subsample=0.8099098641033556, total= 0.1s [CV] gamma=0.30582658024414044, learning_rate=0.03211989156591522, max_depth=2, n_estimators=148, subsample=0.8099098641033556 [CV] gamma=0.30582658024414044, learning_rate=0.03211989156591522, max_depth=2, n_estimators=148, subsample=0.8099098641033556, total= 0.1s [CV] gamma=0.30582658024414044, learning_rate=0.03211989156591522, max_depth=2, n_estimators=148, subsample=0.8099098641033556 [CV] gamma=0.30582658024414044, learning_rate=0.03211989156591522, max_depth=2, n_estimators=148, subsample=0.8099098641033556, total= 0.1s [CV] gamma=0.19993048585762774, learning_rate=0.04399969896408463, max_depth=5, n_estimators=115, subsample=0.6931085361721216 [CV] gamma=0.19993048585762774, learning_rate=0.04399969896408463, max_depth=5, n_estimators=115, subsample=0.6931085361721216, total= 0.1s [CV] gamma=0.19993048585762774, learning_rate=0.04399969896408463, max_depth=5, n_estimators=115, subsample=0.6931085361721216 [CV] gamma=0.19993048585762774, learning_rate=0.04399969896408463, max_depth=5, n_estimators=115, subsample=0.6931085361721216, total= 0.1s [CV] gamma=0.19993048585762774, learning_rate=0.04399969896408463, max_depth=5, n_estimators=115, subsample=0.6931085361721216 [CV] gamma=0.19993048585762774, learning_rate=0.04399969896408463, max_depth=5, n_estimators=115, subsample=0.6931085361721216, total= 0.1s [CV] gamma=0.19993048585762774, 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[Parallel(n_jobs=1)]: Done 50 out of 50 | elapsed: 5.0s finished
{'gamma': 0.19993048585762774,
'learning_rate': 0.04399969896408463,
'max_depth': 5,
'n_estimators': 115,
'subsample': 0.6931085361721216}
sns.distplot(y_test - y_pred_model9)
<matplotlib.axes._subplots.AxesSubplot at 0x2353eac5f48>
plt.scatter(y_test , y_pred_model9)
<matplotlib.collections.PathCollection at 0x235439ad6c8>
print('MAE:', metrics.mean_absolute_error(y_test, y_pred_model9))
print('MSE:', metrics.mean_squared_error(y_test, y_pred_model9))
print('RMSE:', np.sqrt(metrics.mean_squared_error(y_test, y_pred_model9)))
MAE: 111.02415132342644 MSE: 29909.376834659353 RMSE: 172.94327634996208
from sklearn.metrics import r2_score
y_pred = y_pred_model9
y_test = y_test
model = 'model9 XGradient Boost Regression'
plt.figure(figsize=(15, 15), dpi = 150);
plt.subplots_adjust(hspace = 0.25, wspace = 0.25);
plt.subplots(figsize=(16,6));
plt.scatter(x = y_test, y = y_pred, color = 'blue');
#Add 45 degree line
xp = np.linspace(y_test.min(), y_test.max(), 100)
plt.plot(xp, xp, 'k', alpha = 0.9, linewidth = 2, color = 'red')
plt.xlabel('Actual Value');
plt.ylabel('Predicted Value');
plt.title(f'{model}');
plt.subplots(figsize=(17,6));
x_points = list(range(len(y_test)));
plt.plot(x_points, y_test, label='y_real', color = 'blue');
plt.plot(x_points, y_pred, label='y_predict', color = 'red');
plt.legend();
plt.grid()
plt.title(f'{model}');
plt.show();
<Figure size 2250x2250 with 0 Axes>
model_comp = model_comp.append(pd.DataFrame({'Mean of AbsErrors': abs_err_model9.mean(),
'Median of AbsErrors' : abs_err_model9.median(),
'SD of AbsErrors' : abs_err_model9.std(),
'IQR of AbsErrors': iqr(abs_err_model9),
'Min of AbsErrors': abs_err_model9.min(),
'Max of AbsErrors': abs_err_model9.max()}, index = ['Model9: XGradient Boost Regression']),
ignore_index = False)
model_comp
| Mean of AbsErrors | Median of AbsErrors | SD of AbsErrors | IQR of AbsErrors | Min of AbsErrors | Max of AbsErrors | |
|---|---|---|---|---|---|---|
| Model1: Linear-Ragression | 223.148958 | 158.574170 | 198.785517 | 216.725217 | 3.569232 | 1047.957143 |
| Model2: Ridge Regression | 226.441674 | 151.029550 | 293.532084 | 136.707544 | 7.679097 | 1897.768941 |
| Model3: Lasso Regression | 235.833326 | 142.116905 | 324.730397 | 156.625954 | 3.744212 | 2181.596147 |
| Model4: KNN Regression | 160.407478 | 81.167175 | 190.775927 | 226.393202 | 2.543116 | 837.841616 |
| Model5: Decision Tree Regression | 162.989272 | 78.558773 | 185.351198 | 223.772135 | 0.769051 | 827.083624 |
| Model6: Bagging Regression | 110.548632 | 58.805452 | 137.133019 | 153.685308 | 1.442460 | 747.780147 |
| Model7: Random Forest Regression | 115.340210 | 58.109284 | 137.818992 | 160.515046 | 3.225445 | 745.132697 |
| Model8: Gradient Boost Regression | 126.722542 | 69.261401 | 136.800253 | 106.438768 | 3.763734 | 532.900731 |
| Model9: XGradient Boost Regression | 111.024151 | 53.490540 | 133.869898 | 149.096519 | 0.053513 | 774.368569 |
from catboost import CatBoostRegressor
model10 = CatBoostRegressor(learning_rate = 0.03,
l2_leaf_reg = 5,
depth = 10)
model10.fit(X_train, logy_train)
y_pred_model10 = model10.predict(X_test)
y_pred_model10 = np.exp(y_pred_model10)
abs_err_model10 = np.abs(y_pred_model10 - y_test)
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grid = {'learning_rate': [0.03, 0.1],
'depth': [4, 6, 10],
'l2_leaf_reg': [1, 3, 5, 7, 9]}
cb = RandomizedSearchCV(estimator = model10,
param_distributions = grid,
scoring='neg_mean_squared_error',
n_iter = 10,
cv = 5,
verbose=2,
random_state=42,
n_jobs = 1)
cb.fit(X_train,logy_train)
cb.best_params_
Fitting 5 folds for each of 10 candidates, totalling 50 fits [CV] learning_rate=0.1, l2_leaf_reg=7, depth=10 ......................
[Parallel(n_jobs=1)]: Using backend SequentialBackend with 1 concurrent workers.
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{'learning_rate': 0.03, 'l2_leaf_reg': 5, 'depth': 10}
sns.distplot(y_test - y_pred_model10)
<matplotlib.axes._subplots.AxesSubplot at 0x235411db508>
plt.scatter(y_test , y_pred_model10)
<matplotlib.collections.PathCollection at 0x2354098a3c8>
print('MAE:', metrics.mean_absolute_error(y_test, y_pred_model10))
print('MSE:', metrics.mean_squared_error(y_test, y_pred_model10))
print('RMSE:', np.sqrt(metrics.mean_squared_error(y_test, y_pred_model10)))
MAE: 124.36481600298288 MSE: 28645.260923268437 RMSE: 169.2491090767347
from sklearn.metrics import r2_score
y_pred = y_pred_model10
y_test = y_test
model = 'model10 CatBoost Regression'
plt.figure(figsize=(15, 15), dpi = 150);
plt.subplots_adjust(hspace = 0.25, wspace = 0.25);
plt.subplots(figsize=(16,6));
plt.scatter(x = y_test, y = y_pred, color = 'blue');
#Add 45 degree line
xp = np.linspace(y_test.min(), y_test.max(), 100)
plt.plot(xp, xp, 'k', alpha = 0.9, linewidth = 2, color = 'red')
plt.xlabel('Actual Value');
plt.ylabel('Predicted Value');
plt.title(f'{model}');
plt.subplots(figsize=(17,6));
x_points = list(range(len(y_test)));
plt.plot(x_points, y_test, label='y_real', color = 'blue');
plt.plot(x_points, y_pred, label='y_predict', color = 'red');
plt.legend();
plt.grid()
plt.title(f'{model}');
plt.show();
<Figure size 2250x2250 with 0 Axes>
model_comp = model_comp.append(pd.DataFrame({'Mean of AbsErrors': abs_err_model10.mean(),
'Median of AbsErrors' : abs_err_model10.median(),
'SD of AbsErrors' : abs_err_model10.std(),
'IQR of AbsErrors': iqr(abs_err_model10),
'Min of AbsErrors': abs_err_model10.min(),
'Max of AbsErrors': abs_err_model10.max()}, index = ['Model10: CatBoost Regression']),
ignore_index = False)
model_comp
| Mean of AbsErrors | Median of AbsErrors | SD of AbsErrors | IQR of AbsErrors | Min of AbsErrors | Max of AbsErrors | |
|---|---|---|---|---|---|---|
| Model1: Linear-Ragression | 223.148958 | 158.574170 | 198.785517 | 216.725217 | 3.569232 | 1047.957143 |
| Model2: Ridge Regression | 226.441674 | 151.029550 | 293.532084 | 136.707544 | 7.679097 | 1897.768941 |
| Model3: Lasso Regression | 235.833326 | 142.116905 | 324.730397 | 156.625954 | 3.744212 | 2181.596147 |
| Model4: KNN Regression | 160.407478 | 81.167175 | 190.775927 | 226.393202 | 2.543116 | 837.841616 |
| Model5: Decision Tree Regression | 162.989272 | 78.558773 | 185.351198 | 223.772135 | 0.769051 | 827.083624 |
| Model6: Bagging Regression | 110.548632 | 58.805452 | 137.133019 | 153.685308 | 1.442460 | 747.780147 |
| Model7: Random Forest Regression | 115.340210 | 58.109284 | 137.818992 | 160.515046 | 3.225445 | 745.132697 |
| Model8: Gradient Boost Regression | 126.722542 | 69.261401 | 136.800253 | 106.438768 | 3.763734 | 532.900731 |
| Model9: XGradient Boost Regression | 111.024151 | 53.490540 | 133.869898 | 149.096519 | 0.053513 | 774.368569 |
| Model10: CatBoost Regression | 124.364816 | 97.575426 | 115.896890 | 123.215817 | 3.237146 | 562.148719 |
{'gamma': 0.22007624686980065,
'learning_rate': 0.06661147045343364,
'max_depth': 2,
'n_estimators': 107,
'subsample': 0.6137554084460873}
from lightgbm import LGBMRegressor
model11 = LGBMRegressor(gamma = 0.22007624686980065,
learning_rate = 0.06661147045343364,
max_depth = 2,
n_estimators = 107,
subsample = 0.6137554084460873)
model11.fit(X_train, logy_train)
y_pred_model11 = model11.predict(X_test)
y_pred_model11 = np.exp(y_pred_model11)
abs_err_model11 = np.abs(y_pred_model11 - y_test)
params = {
"gamma": uniform(0, 0.5),
"learning_rate": uniform(0.03, 0.3), # default 0.1
"max_depth": randint(2, 6), # default 3
"n_estimators": randint(100, 150), # default 100
"subsample": uniform(0.6, 0.4)
}
lb = RandomizedSearchCV(estimator = model11,
param_distributions = params,
scoring='neg_mean_squared_error',
n_iter = 10,
cv = 5,
verbose=2,
random_state=42,
n_jobs = 1)
lb.fit(X_train, logy_train)
lb.best_params_
Fitting 5 folds for each of 10 candidates, totalling 50 fits [CV] gamma=0.18727005942368125, learning_rate=0.3152142919229748, max_depth=4, n_estimators=107, subsample=0.8394633936788146 [LightGBM] [Warning] Unknown parameter: gamma
[Parallel(n_jobs=1)]: Using backend SequentialBackend with 1 concurrent workers.
[CV] gamma=0.18727005942368125, learning_rate=0.3152142919229748, max_depth=4, n_estimators=107, subsample=0.8394633936788146, total= 0.3s [CV] gamma=0.18727005942368125, learning_rate=0.3152142919229748, max_depth=4, n_estimators=107, subsample=0.8394633936788146 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.18727005942368125, learning_rate=0.3152142919229748, max_depth=4, n_estimators=107, subsample=0.8394633936788146, total= 0.0s [CV] gamma=0.18727005942368125, learning_rate=0.3152142919229748, max_depth=4, n_estimators=107, subsample=0.8394633936788146 [LightGBM] [Warning] Unknown parameter: gamma
[Parallel(n_jobs=1)]: Done 1 out of 1 | elapsed: 0.2s remaining: 0.0s
[CV] gamma=0.18727005942368125, learning_rate=0.3152142919229748, max_depth=4, n_estimators=107, subsample=0.8394633936788146, total= 0.0s [CV] gamma=0.18727005942368125, learning_rate=0.3152142919229748, max_depth=4, n_estimators=107, subsample=0.8394633936788146 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.18727005942368125, learning_rate=0.3152142919229748, max_depth=4, n_estimators=107, subsample=0.8394633936788146, total= 0.0s [CV] gamma=0.18727005942368125, learning_rate=0.3152142919229748, max_depth=4, n_estimators=107, subsample=0.8394633936788146 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.18727005942368125, learning_rate=0.3152142919229748, max_depth=4, n_estimators=107, subsample=0.8394633936788146, total= 0.0s [CV] gamma=0.07800932022121826, learning_rate=0.07679835610086079, max_depth=4, n_estimators=110, subsample=0.9464704583099741 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.07800932022121826, learning_rate=0.07679835610086079, max_depth=4, n_estimators=110, subsample=0.9464704583099741, total= 0.0s [CV] gamma=0.07800932022121826, learning_rate=0.07679835610086079, max_depth=4, n_estimators=110, subsample=0.9464704583099741 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.07800932022121826, learning_rate=0.07679835610086079, max_depth=4, n_estimators=110, subsample=0.9464704583099741, total= 0.0s [CV] gamma=0.07800932022121826, learning_rate=0.07679835610086079, max_depth=4, n_estimators=110, subsample=0.9464704583099741 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.07800932022121826, learning_rate=0.07679835610086079, max_depth=4, n_estimators=110, subsample=0.9464704583099741, total= 0.0s [CV] gamma=0.07800932022121826, learning_rate=0.07679835610086079, max_depth=4, n_estimators=110, subsample=0.9464704583099741 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.07800932022121826, learning_rate=0.07679835610086079, max_depth=4, n_estimators=110, subsample=0.9464704583099741, total= 0.0s [CV] gamma=0.07800932022121826, learning_rate=0.07679835610086079, max_depth=4, n_estimators=110, subsample=0.9464704583099741 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.07800932022121826, learning_rate=0.07679835610086079, max_depth=4, n_estimators=110, subsample=0.9464704583099741, total= 0.0s [CV] gamma=0.3005575058716044, learning_rate=0.24242177333881365, max_depth=3, n_estimators=101, subsample=0.8887995089067299 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.3005575058716044, learning_rate=0.24242177333881365, max_depth=3, n_estimators=101, subsample=0.8887995089067299, total= 0.0s [CV] gamma=0.3005575058716044, learning_rate=0.24242177333881365, max_depth=3, n_estimators=101, subsample=0.8887995089067299 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.3005575058716044, learning_rate=0.24242177333881365, max_depth=3, n_estimators=101, subsample=0.8887995089067299, total= 0.0s [CV] gamma=0.3005575058716044, learning_rate=0.24242177333881365, max_depth=3, n_estimators=101, subsample=0.8887995089067299 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.3005575058716044, learning_rate=0.24242177333881365, max_depth=3, n_estimators=101, subsample=0.8887995089067299, total= 0.0s [CV] gamma=0.3005575058716044, learning_rate=0.24242177333881365, max_depth=3, n_estimators=101, subsample=0.8887995089067299 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.3005575058716044, learning_rate=0.24242177333881365, max_depth=3, n_estimators=101, subsample=0.8887995089067299, total= 0.0s [CV] gamma=0.3005575058716044, learning_rate=0.24242177333881365, max_depth=3, n_estimators=101, subsample=0.8887995089067299 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.3005575058716044, learning_rate=0.24242177333881365, max_depth=3, n_estimators=101, subsample=0.8887995089067299, total= 0.0s [CV] gamma=0.4692763545078751, learning_rate=0.030233629752304297, max_depth=5, n_estimators=120, subsample=0.8469926038510867 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.4692763545078751, learning_rate=0.030233629752304297, max_depth=5, n_estimators=120, subsample=0.8469926038510867, total= 0.0s [CV] gamma=0.4692763545078751, learning_rate=0.030233629752304297, max_depth=5, n_estimators=120, subsample=0.8469926038510867 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.4692763545078751, learning_rate=0.030233629752304297, max_depth=5, n_estimators=120, subsample=0.8469926038510867, total= 0.1s [CV] gamma=0.4692763545078751, learning_rate=0.030233629752304297, max_depth=5, n_estimators=120, subsample=0.8469926038510867 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.4692763545078751, learning_rate=0.030233629752304297, max_depth=5, n_estimators=120, subsample=0.8469926038510867, total= 0.1s [CV] gamma=0.4692763545078751, learning_rate=0.030233629752304297, max_depth=5, n_estimators=120, subsample=0.8469926038510867 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.4692763545078751, learning_rate=0.030233629752304297, max_depth=5, n_estimators=120, subsample=0.8469926038510867, total= 0.0s [CV] gamma=0.4692763545078751, learning_rate=0.030233629752304297, max_depth=5, n_estimators=120, subsample=0.8469926038510867 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.4692763545078751, learning_rate=0.030233629752304297, max_depth=5, n_estimators=120, subsample=0.8469926038510867, total= 0.0s [CV] gamma=0.30582658024414044, learning_rate=0.03211989156591522, max_depth=2, n_estimators=148, subsample=0.8099098641033556 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.30582658024414044, learning_rate=0.03211989156591522, max_depth=2, n_estimators=148, subsample=0.8099098641033556, total= 0.0s [CV] gamma=0.30582658024414044, learning_rate=0.03211989156591522, max_depth=2, n_estimators=148, subsample=0.8099098641033556 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.30582658024414044, learning_rate=0.03211989156591522, max_depth=2, n_estimators=148, subsample=0.8099098641033556, total= 0.0s [CV] gamma=0.30582658024414044, learning_rate=0.03211989156591522, max_depth=2, n_estimators=148, subsample=0.8099098641033556 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.30582658024414044, learning_rate=0.03211989156591522, max_depth=2, n_estimators=148, subsample=0.8099098641033556, total= 0.0s [CV] gamma=0.30582658024414044, learning_rate=0.03211989156591522, max_depth=2, n_estimators=148, subsample=0.8099098641033556 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.30582658024414044, learning_rate=0.03211989156591522, max_depth=2, n_estimators=148, subsample=0.8099098641033556, total= 0.0s [CV] gamma=0.30582658024414044, learning_rate=0.03211989156591522, max_depth=2, n_estimators=148, subsample=0.8099098641033556 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.30582658024414044, learning_rate=0.03211989156591522, max_depth=2, n_estimators=148, subsample=0.8099098641033556, total= 0.0s [CV] gamma=0.19993048585762774, learning_rate=0.04399969896408463, max_depth=5, n_estimators=115, subsample=0.6931085361721216 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.19993048585762774, learning_rate=0.04399969896408463, max_depth=5, n_estimators=115, subsample=0.6931085361721216, total= 0.1s [CV] gamma=0.19993048585762774, learning_rate=0.04399969896408463, max_depth=5, n_estimators=115, subsample=0.6931085361721216 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.19993048585762774, learning_rate=0.04399969896408463, max_depth=5, n_estimators=115, subsample=0.6931085361721216, total= 0.0s [CV] gamma=0.19993048585762774, learning_rate=0.04399969896408463, max_depth=5, n_estimators=115, subsample=0.6931085361721216 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.19993048585762774, learning_rate=0.04399969896408463, max_depth=5, n_estimators=115, subsample=0.6931085361721216, total= 0.0s [CV] gamma=0.19993048585762774, learning_rate=0.04399969896408463, max_depth=5, n_estimators=115, subsample=0.6931085361721216 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.19993048585762774, learning_rate=0.04399969896408463, max_depth=5, n_estimators=115, subsample=0.6931085361721216, total= 0.0s [CV] gamma=0.19993048585762774, learning_rate=0.04399969896408463, max_depth=5, n_estimators=115, subsample=0.6931085361721216 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.19993048585762774, learning_rate=0.04399969896408463, max_depth=5, n_estimators=115, subsample=0.6931085361721216, total= 0.0s [CV] gamma=0.0453032172664104, learning_rate=0.2155158027999262, max_depth=5, n_estimators=102, subsample=0.9439761626945282 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.0453032172664104, learning_rate=0.2155158027999262, max_depth=5, n_estimators=102, subsample=0.9439761626945282, total= 0.0s [CV] gamma=0.0453032172664104, learning_rate=0.2155158027999262, max_depth=5, n_estimators=102, subsample=0.9439761626945282 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.0453032172664104, learning_rate=0.2155158027999262, max_depth=5, n_estimators=102, subsample=0.9439761626945282, total= 0.0s [CV] gamma=0.0453032172664104, learning_rate=0.2155158027999262, max_depth=5, n_estimators=102, subsample=0.9439761626945282 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.0453032172664104, learning_rate=0.2155158027999262, max_depth=5, n_estimators=102, subsample=0.9439761626945282, total= 0.0s [CV] gamma=0.0453032172664104, learning_rate=0.2155158027999262, max_depth=5, n_estimators=102, subsample=0.9439761626945282 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.0453032172664104, learning_rate=0.2155158027999262, max_depth=5, n_estimators=102, subsample=0.9439761626945282, total= 0.0s [CV] gamma=0.0453032172664104, learning_rate=0.2155158027999262, max_depth=5, n_estimators=102, subsample=0.9439761626945282 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.0453032172664104, learning_rate=0.2155158027999262, max_depth=5, n_estimators=102, subsample=0.9439761626945282, total= 0.0s [CV] gamma=0.34015376929388985, learning_rate=0.16514977559086289, max_depth=3, n_estimators=103, subsample=0.9768807022739411 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.34015376929388985, learning_rate=0.16514977559086289, max_depth=3, n_estimators=103, subsample=0.9768807022739411, total= 0.0s [CV] gamma=0.34015376929388985, learning_rate=0.16514977559086289, max_depth=3, n_estimators=103, subsample=0.9768807022739411 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.34015376929388985, learning_rate=0.16514977559086289, max_depth=3, n_estimators=103, subsample=0.9768807022739411, total= 0.0s [CV] gamma=0.34015376929388985, learning_rate=0.16514977559086289, max_depth=3, n_estimators=103, subsample=0.9768807022739411 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.34015376929388985, learning_rate=0.16514977559086289, max_depth=3, n_estimators=103, subsample=0.9768807022739411, total= 0.0s [CV] gamma=0.34015376929388985, learning_rate=0.16514977559086289, max_depth=3, n_estimators=103, subsample=0.9768807022739411 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.34015376929388985, learning_rate=0.16514977559086289, max_depth=3, n_estimators=103, subsample=0.9768807022739411, total= 0.0s [CV] gamma=0.34015376929388985, learning_rate=0.16514977559086289, max_depth=3, n_estimators=103, subsample=0.9768807022739411 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.34015376929388985, learning_rate=0.16514977559086289, max_depth=3, n_estimators=103, subsample=0.9768807022739411, total= 0.0s [CV] gamma=0.28164410892276964, learning_rate=0.14562495076197482, max_depth=3, n_estimators=101, subsample=0.8736932106048627 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.28164410892276964, learning_rate=0.14562495076197482, max_depth=3, n_estimators=101, subsample=0.8736932106048627, total= 0.0s [CV] gamma=0.28164410892276964, learning_rate=0.14562495076197482, max_depth=3, n_estimators=101, subsample=0.8736932106048627 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.28164410892276964, learning_rate=0.14562495076197482, max_depth=3, n_estimators=101, subsample=0.8736932106048627, total= 0.0s [CV] gamma=0.28164410892276964, learning_rate=0.14562495076197482, max_depth=3, n_estimators=101, subsample=0.8736932106048627 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.28164410892276964, learning_rate=0.14562495076197482, max_depth=3, n_estimators=101, subsample=0.8736932106048627, total= 0.0s [CV] gamma=0.28164410892276964, learning_rate=0.14562495076197482, max_depth=3, n_estimators=101, subsample=0.8736932106048627 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.28164410892276964, learning_rate=0.14562495076197482, max_depth=3, n_estimators=101, subsample=0.8736932106048627, total= 0.0s [CV] gamma=0.28164410892276964, learning_rate=0.14562495076197482, max_depth=3, n_estimators=101, subsample=0.8736932106048627 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.28164410892276964, learning_rate=0.14562495076197482, max_depth=3, n_estimators=101, subsample=0.8736932106048627, total= 0.0s [CV] gamma=0.22007624686980065, learning_rate=0.06661147045343364, max_depth=2, n_estimators=107, subsample=0.6137554084460873 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.22007624686980065, learning_rate=0.06661147045343364, max_depth=2, n_estimators=107, subsample=0.6137554084460873, total= 0.0s [CV] gamma=0.22007624686980065, learning_rate=0.06661147045343364, max_depth=2, n_estimators=107, subsample=0.6137554084460873 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.22007624686980065, learning_rate=0.06661147045343364, max_depth=2, n_estimators=107, subsample=0.6137554084460873, total= 0.0s [CV] gamma=0.22007624686980065, learning_rate=0.06661147045343364, max_depth=2, n_estimators=107, subsample=0.6137554084460873 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.22007624686980065, learning_rate=0.06661147045343364, max_depth=2, n_estimators=107, subsample=0.6137554084460873, total= 0.0s [CV] gamma=0.22007624686980065, learning_rate=0.06661147045343364, max_depth=2, n_estimators=107, subsample=0.6137554084460873 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.22007624686980065, learning_rate=0.06661147045343364, max_depth=2, n_estimators=107, subsample=0.6137554084460873, total= 0.0s [CV] gamma=0.22007624686980065, learning_rate=0.06661147045343364, max_depth=2, n_estimators=107, subsample=0.6137554084460873 [LightGBM] [Warning] Unknown parameter: gamma [CV] gamma=0.22007624686980065, learning_rate=0.06661147045343364, max_depth=2, n_estimators=107, subsample=0.6137554084460873, total= 0.0s [LightGBM] [Warning] Unknown parameter: gamma
[Parallel(n_jobs=1)]: Done 50 out of 50 | elapsed: 2.4s finished
{'gamma': 0.22007624686980065,
'learning_rate': 0.06661147045343364,
'max_depth': 2,
'n_estimators': 107,
'subsample': 0.6137554084460873}
sns.distplot(y_test - y_pred_model11)
<matplotlib.axes._subplots.AxesSubplot at 0x2354796ecc8>
plt.scatter(y_test , y_pred_model11)
<matplotlib.collections.PathCollection at 0x2353f28b988>
print('MAE:', metrics.mean_absolute_error(y_test, y_pred_model11))
print('MSE:', metrics.mean_squared_error(y_test, y_pred_model11))
print('RMSE:', np.sqrt(metrics.mean_squared_error(y_test, y_pred_model11)))
MAE: 124.93325779962663 MSE: 41085.0395500319 RMSE: 202.69444874004787
from sklearn.metrics import r2_score
y_pred = y_pred_model11
y_test = y_test
model = 'model11 LightBoost Regression'
plt.figure(figsize=(15, 15), dpi = 150);
plt.subplots_adjust(hspace = 0.25, wspace = 0.25);
plt.subplots(figsize=(16,6));
plt.scatter(x = y_test, y = y_pred, color = 'blue');
#Add 45 degree line
xp = np.linspace(y_test.min(), y_test.max(), 100)
plt.plot(xp, xp, 'k', alpha = 0.9, linewidth = 2, color = 'red')
plt.xlabel('Actual Value');
plt.ylabel('Predicted Value');
plt.title(f'{model}');
plt.subplots(figsize=(17,6));
x_points = list(range(len(y_test)));
plt.plot(x_points, y_test, label='y_real', color = 'blue');
plt.plot(x_points, y_pred, label='y_predict', color = 'red');
plt.legend();
plt.grid()
plt.title(f'{model}');
plt.show();
<Figure size 2250x2250 with 0 Axes>
model_comp = model_comp.append(pd.DataFrame({'Mean of AbsErrors': abs_err_model11.mean(),
'Median of AbsErrors' : abs_err_model11.median(),
'SD of AbsErrors' : abs_err_model11.std(),
'IQR of AbsErrors': iqr(abs_err_model11),
'Min of AbsErrors': abs_err_model11.min(),
'Max of AbsErrors': abs_err_model11.max()}, index = ['Model11: LightBoost Regression']),
ignore_index = False)
model_comp
| Mean of AbsErrors | Median of AbsErrors | SD of AbsErrors | IQR of AbsErrors | Min of AbsErrors | Max of AbsErrors | |
|---|---|---|---|---|---|---|
| Model1: Linear-Ragression | 223.148958 | 158.574170 | 198.785517 | 216.725217 | 3.569232 | 1047.957143 |
| Model2: Ridge Regression | 226.441674 | 151.029550 | 293.532084 | 136.707544 | 7.679097 | 1897.768941 |
| Model3: Lasso Regression | 235.833326 | 142.116905 | 324.730397 | 156.625954 | 3.744212 | 2181.596147 |
| Model4: KNN Regression | 160.407478 | 81.167175 | 190.775927 | 226.393202 | 2.543116 | 837.841616 |
| Model5: Decision Tree Regression | 162.989272 | 78.558773 | 185.351198 | 223.772135 | 0.769051 | 827.083624 |
| Model6: Bagging Regression | 110.548632 | 58.805452 | 137.133019 | 153.685308 | 1.442460 | 747.780147 |
| Model7: Random Forest Regression | 115.340210 | 58.109284 | 137.818992 | 160.515046 | 3.225445 | 745.132697 |
| Model8: Gradient Boost Regression | 126.722542 | 69.261401 | 136.800253 | 106.438768 | 3.763734 | 532.900731 |
| Model9: XGradient Boost Regression | 111.024151 | 53.490540 | 133.869898 | 149.096519 | 0.053513 | 774.368569 |
| Model10: CatBoost Regression | 124.364816 | 97.575426 | 115.896890 | 123.215817 | 3.237146 | 562.148719 |
| Model11: LightBoost Regression | 124.933258 | 71.528389 | 161.141731 | 136.835531 | 5.743488 | 849.233318 |
http://www.science.smith.edu/~jcrouser/SDS293/labs/lab11-py.html